Finding the Fourth Proportional to 142.29, 213.71 and 101.79
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Solution
The fourth proportional to 142.29, 213.71 and 101.79 is: 152.88
Step by Step Solution
- Step 1: Write the proportion equation
142.29 : 213.71 = 101.79 : x - Step 2: Convert to fraction form
142.29/213.71 = 101.79/x - Step 3: Cross multiply
142.29x = 213.71 × 101.79 - Step 4: Simplify right side
142.29x = 21,753.03 - Step 5: Solve for x
x = 21,753.03/142.29 - Step 6: Final answer
x = 152.88
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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.