My daughter drew a picture of a dragon and asked me how I liked it. I told her I felt it was very good, but the proportions were not natural. I told her about the Golden Proportions in nature. I told her it is not necessary to know the math to draw it if she can feel it.
The following seems to be a pretty good website on the subject. Even if you do not want to get into the math details, surfing this site and looking at the pics for a few minutes will likely provide some feeling and insight.
Attuning yourself to nature comes along many paths. Finding the one that is uniquely yours requires humility concurrent with inner knowing. It is the razors edge… the eye of the needle.