Finding the Fourth Proportional to 114.28, 171.36 and 77.68
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Solution
The fourth proportional to 114.28, 171.36 and 77.68 is: 116.48
Step by Step Solution
- Step 1: Write the proportion equation
114.28 : 171.36 = 77.68 : x - Step 2: Convert to fraction form
114.28/171.36 = 77.68/x - Step 3: Cross multiply
114.28x = 171.36 × 77.68 - Step 4: Simplify right side
114.28x = 13,311.24 - Step 5: Solve for x
x = 13,311.24/114.28 - Step 6: Final answer
x = 116.48
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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.