Finding the Fourth Proportional to 76.14, 114.80 and 70.92
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Solution
The fourth proportional to 76.14, 114.80 and 70.92 is: 106.92
Step by Step Solution
- Step 1: Write the proportion equation
76.14 : 114.80 = 70.92 : x - Step 2: Convert to fraction form
76.14/114.80 = 70.92/x - Step 3: Cross multiply
76.14x = 114.80 × 70.92 - Step 4: Simplify right side
76.14x = 8,141.26 - Step 5: Solve for x
x = 8,141.26/76.14 - Step 6: Final answer
x = 106.92
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.