Finding the Fourth Proportional to 76.44, 114.75 and 63.75
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Solution
The fourth proportional to 76.44, 114.75 and 63.75 is: 95.70
Step by Step Solution
- Step 1: Write the proportion equation
76.44 : 114.75 = 63.75 : x - Step 2: Convert to fraction form
76.44/114.75 = 63.75/x - Step 3: Cross multiply
76.44x = 114.75 × 63.75 - Step 4: Simplify right side
76.44x = 7,315.31 - Step 5: Solve for x
x = 7,315.31/76.44 - Step 6: Final answer
x = 95.70
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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.