Finding the Fourth Proportional to 176.19, 243.14 and 102.53
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Solution
The fourth proportional to 176.19, 243.14 and 102.53 is: 141.49
Step by Step Solution
- Step 1: Write the proportion equation
176.19 : 243.14 = 102.53 : x - Step 2: Convert to fraction form
176.19/243.14 = 102.53/x - Step 3: Cross multiply
176.19x = 243.14 × 102.53 - Step 4: Simplify right side
176.19x = 24,929.24 - Step 5: Solve for x
x = 24,929.24/176.19 - Step 6: Final answer
x = 141.49
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.