Finding the Fourth Proportional to 193.28, 289.84 and 77.66
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Solution
The fourth proportional to 193.28, 289.84 and 77.66 is: 116.46
Step by Step Solution
- Step 1: Write the proportion equation
193.28 : 289.84 = 77.66 : x - Step 2: Convert to fraction form
193.28/289.84 = 77.66/x - Step 3: Cross multiply
193.28x = 289.84 × 77.66 - Step 4: Simplify right side
193.28x = 22,508.97 - Step 5: Solve for x
x = 22,508.97/193.28 - Step 6: Final answer
x = 116.46
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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.