Is it possible to set same height as width (ratio 1:1)?

Example

+----------+
| body     |
| 1:3      |
|          |
| +------+ |
| | div  | |
| | 1:1  | |
| +------+ |
|          |
|          |
|          |
|          |
|          |
+----------+

CSS

div {
  width: 80%;
  height: same-as-width
}

There is a way using CSS!

If you set your width depending on the parent container you can set the height to 0 and set padding-bottom to the percentage which will be calculated depending on the current width:

.some_element {
    position: relative;
    width: 20%;
    height: 0;
    padding-bottom: 20%;
}

This works well in all major browsers.

JSFiddle: https://jsfiddle.net/ayb9nzj3/