Finding the Fourth Proportional to 378.11, 566.91 and 146.96
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Solution
The fourth proportional to 378.11, 566.91 and 146.96 is: 220.33
Step by Step Solution
- Step 1: Write the proportion equation
378.11 : 566.91 = 146.96 : x - Step 2: Convert to fraction form
378.11/566.91 = 146.96/x - Step 3: Cross multiply
378.11x = 566.91 × 146.96 - Step 4: Simplify right side
378.11x = 83,310.26 - Step 5: Solve for x
x = 83,310.26/378.11 - Step 6: Final answer
x = 220.33
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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.