Question

there is a hand - drawn diagram with numbers 55, 300, 100 and a variable x, and there is a letter c on the left side of the diagram.

Explanation:

Step1: Identify the proportion equation

From the diagram, we can set up the proportion: $\frac{55}{100} = \frac{300}{x}$ (assuming the cross - multiplication relationship in proportion, where the product of the means equals the product of the extremes).

Step2: Cross - multiply to solve for $x$

Cross - multiplying gives us $55\times x=100\times300$. So, $55x = 30000$.

Step3: Solve for $x$

To find $x$, we divide both sides of the equation by 55: $x=\frac{30000}{55}=\frac{6000}{11}\approx545.45$ (if we want a decimal approximation) or we can leave it as a fraction $\frac{6000}{11}$.

Answer:

If we solve the proportion $\frac{55}{100}=\frac{300}{x}$, we get $x = \frac{6000}{11}\approx545.45$ (the exact value is $\frac{6000}{11}$ and the approximate decimal value is $545.45$)