Finding the Fourth Proportional to 113.16, 169.58 and 59.09
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Solution
The fourth proportional to 113.16, 169.58 and 59.09 is: 88.55
Step by Step Solution
- Step 1: Write the proportion equation
113.16 : 169.58 = 59.09 : x - Step 2: Convert to fraction form
113.16/169.58 = 59.09/x - Step 3: Cross multiply
113.16x = 169.58 × 59.09 - Step 4: Simplify right side
113.16x = 10,020.48 - Step 5: Solve for x
x = 10,020.48/113.16 - Step 6: Final answer
x = 88.55
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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.