Question

solving a proportion of the form x/a = b/c

sample question

solve the following proportion for (x).

\frac{x}{4} = \frac{3}{17}

round your answer to the nearest tenth.

(x =)

Explanation:

Identify the given proportion

We are given the following proportion to solve for \(x\):

$$\frac{x}{4} = \frac{3}{17}$$

Isolate the variable

To isolate \(x\), multiply both sides of the equation by \(4\):

$$x = \frac{3}{17} \times 4$$

$$x = \frac{12}{17}$$

Calculate the decimal value

Perform the division to find the decimal representation of the fraction:

$$x \approx 0.705882...$$

Round to the nearest tenth

Look at the hundredths place to round to the nearest tenth. The digit in the hundredths place is \(0\), which is less than \(5\). Therefore, we round down:

$$x \approx 0.7$$

Answer:

Solve the following proportion for \(x\).

$$\frac{x}{4} = \frac{3}{17}$$

Round your answer to the nearest tenth.
\(x =\) <blank>0.7</blank>