Question

The Mona Lisa In any golden rectangle, the length and width are in the golden ratio, which is about 1.618:1. The golden rectangle is considered pleasing to the human eye and has appeared in architecture and art since ancient times. The Mona Lisa demonstrates the golden ratio as seen in the yellow rectangle. What is the value of (x)?

Hint - Solve the proportion (frac(4)(3) = frac(x)(6)).
A) 55 in
B) 73 in
C) 9.7 in
D) 10.2 in

Answer 1

The value of x in the given proportion is 8.

Step-by-step explanation:

In the given question, we are given the proportion {{4/3 = x/6}} and we are asked to find the value of x.

To solve this proportion, we can use cross multiplication. First, we multiply the numerator of the first fraction (4) with the denominator of the second fraction (6), and then multiply the numerator of the second fraction (x) with the denominator of the first fraction (3).

So, we get 4*6 = 3*x, which simplifies to 24 = 3x.

To find the value of x, we divide both sides of the equation by 3. So, x = 24/3, which is equal to 8.

Therefore, the value of x in the given proportion is 8.