Finding the Fourth Proportional to 252.18, 378.20 and 107.80
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Solution
The fourth proportional to 252.18, 378.20 and 107.80 is: 161.67
Step by Step Solution
- Step 1: Write the proportion equation
252.18 : 378.20 = 107.80 : x - Step 2: Convert to fraction form
252.18/378.20 = 107.80/x - Step 3: Cross multiply
252.18x = 378.20 × 107.80 - Step 4: Simplify right side
252.18x = 40,769.96 - Step 5: Solve for x
x = 40,769.96/252.18 - Step 6: Final answer
x = 161.67
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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.