Golden Ratio Calculator
This golden ratio calculator multiplies or divides your number by phi, 1.6180339887, and rounds each partner to 4 decimals. Use it to find the longer and shorter golden ratio measurements for layouts, rectangles, and quick ratio checks.
Golden ratio partners
Larger partner: 100 x 1.6180339887 = 161.8034
Smaller partner: 100 / 1.6180339887 = 61.8034
Golden rectangle dimensions
The table starts with widths from 100 to 1000. Height is width / phi, and longer side is width x phi, both rounded to 4 decimal places.
| Width | Height, width / phi | Longer side, width x phi |
|---|---|---|
| 100 | 61.8034 | 161.8034 |
| 200 | 123.6068 | 323.6068 |
| 300 | 185.4102 | 485.4102 |
| 400 | 247.2136 | 647.2136 |
| 500 | 309.0170 | 809.0170 |
| 600 | 370.8204 | 970.8204 |
| 700 | 432.6238 | 1132.6238 |
| 800 | 494.4272 | 1294.4272 |
| 900 | 556.2306 | 1456.2306 |
| 1000 | 618.0340 | 1618.0340 |
How to use the result
If your starting number is the shorter side, use the larger partner as the matching longer side. If your starting number is the longer side, use the smaller partner as the matching shorter side. For the full explanation and the common myths, read the golden ratio guide.
Frequently asked questions
What does the golden ratio calculator do?
It takes one number and shows the golden ratio partner above it and below it. The larger partner is x times 1.6180339887, and the smaller partner is x divided by 1.6180339887.
What is phi?
Phi is the golden ratio constant, approximately 1.6180339887. Two quantities are in the golden ratio when the larger divided by the smaller equals phi.
How are the results rounded?
The calculator rounds both results to 4 decimal places. The golden rectangle table uses the same phi constant and the same 4 decimal place rounding.
Which side is the width in the table?
The width column is the starting value. The height column is width divided by phi, and the longer side column is width multiplied by phi.
Is the golden ratio always the best design ratio?
No. The golden ratio is a real mathematical constant, but it is not a universal design rule. Use it as one proportion option, then judge the result in context.
Does this calculator store my number?
No. The math runs locally in your browser with plain JavaScript. Nothing you type is sent to a server or saved.