Finding the Fourth Proportional to 274.14, 378.10 and 180.74
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Solution
The fourth proportional to 274.14, 378.10 and 180.74 is: 249.28
Step by Step Solution
- Step 1: Write the proportion equation
274.14 : 378.10 = 180.74 : x - Step 2: Convert to fraction form
274.14/378.10 = 180.74/x - Step 3: Cross multiply
274.14x = 378.10 × 180.74 - Step 4: Simplify right side
274.14x = 68,337.79 - Step 5: Solve for x
x = 68,337.79/274.14 - Step 6: Final answer
x = 249.28
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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.