Finding the Fourth Proportional to 105.92, 158.94 and 86.62
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Solution
The fourth proportional to 105.92, 158.94 and 86.62 is: 129.98
Step by Step Solution
- Step 1: Write the proportion equation
105.92 : 158.94 = 86.62 : x - Step 2: Convert to fraction form
105.92/158.94 = 86.62/x - Step 3: Cross multiply
105.92x = 158.94 × 86.62 - Step 4: Simplify right side
105.92x = 13,767.38 - Step 5: Solve for x
x = 13,767.38/105.92 - Step 6: Final answer
x = 129.98
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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.