Finding the Fourth Proportional to 378.20, 567.26 and 161.76
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Solution
The fourth proportional to 378.20, 567.26 and 161.76 is: 242.62
Step by Step Solution
- Step 1: Write the proportion equation
378.20 : 567.26 = 161.76 : x - Step 2: Convert to fraction form
378.20/567.26 = 161.76/x - Step 3: Cross multiply
378.20x = 567.26 × 161.76 - Step 4: Simplify right side
378.20x = 91,759.98 - Step 5: Solve for x
x = 91,759.98/378.20 - Step 6: Final answer
x = 242.62
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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.