Finding the Fourth Proportional to 378.70, 566.70 and 257.20
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Solution
The fourth proportional to 378.70, 566.70 and 257.20 is: 384.88
Step by Step Solution
- Step 1: Write the proportion equation
378.70 : 566.70 = 257.20 : x - Step 2: Convert to fraction form
378.70/566.70 = 257.20/x - Step 3: Cross multiply
378.70x = 566.70 × 257.20 - Step 4: Simplify right side
378.70x = 145,755.24 - Step 5: Solve for x
x = 145,755.24/378.70 - Step 6: Final answer
x = 384.88
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.