Question

What denominator for 213=49?
would make these ratios proportional?

Answer 1

To determine what denominator would make the ratios \( \frac{213}{x} \) and \( \frac{49}{1} \) proportional, we set up the equation:

\[
\frac{213}{x} = \frac{49}{1}
\]

Cross-multiplying gives us:

\[
213 \cdot 1 = 49 \cdot x
\]

This simplifies to:

\[
213 = 49x
\]

To find \( x \), we divide both sides by 49:

\[
x = \frac{213}{49}
\]

Calculating this gives:

\[
x \approx 4.3449
\]

So, the denominator \( x \) that would make the ratios proportional is approximately \( 4.34 \) (if rounded to two decimal places). If you prefer the exact fraction, then \( x = \frac{213}{49} \).