Finding the Fourth Proportional to 274.20, 378.39 and 157.74
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Solution
The fourth proportional to 274.20, 378.39 and 157.74 is: 217.68
Step by Step Solution
- Step 1: Write the proportion equation
274.20 : 378.39 = 157.74 : x - Step 2: Convert to fraction form
274.20/378.39 = 157.74/x - Step 3: Cross multiply
274.20x = 378.39 × 157.74 - Step 4: Simplify right side
274.20x = 59,687.24 - Step 5: Solve for x
x = 59,687.24/274.20 - Step 6: Final answer
x = 217.68
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.