Finding the Fourth Proportional to 84.14, 115.85 and 74.66
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Solution
The fourth proportional to 84.14, 115.85 and 74.66 is: 102.79
Step by Step Solution
- Step 1: Write the proportion equation
84.14 : 115.85 = 74.66 : x - Step 2: Convert to fraction form
84.14/115.85 = 74.66/x - Step 3: Cross multiply
84.14x = 115.85 × 74.66 - Step 4: Simplify right side
84.14x = 8,648.41 - Step 5: Solve for x
x = 8,648.41/84.14 - Step 6: Final answer
x = 102.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.