Finding the Fourth Proportional to 76.96, 115.44 and 58.08
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Solution
The fourth proportional to 76.96, 115.44 and 58.08 is: 87.12
Step by Step Solution
- Step 1: Write the proportion equation
76.96 : 115.44 = 58.08 : x - Step 2: Convert to fraction form
76.96/115.44 = 58.08/x - Step 3: Cross multiply
76.96x = 115.44 × 58.08 - Step 4: Simplify right side
76.96x = 6,704.76 - Step 5: Solve for x
x = 6,704.76/76.96 - Step 6: Final answer
x = 87.12
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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.