Finding the Fourth Proportional to 97.50, 146.27 and 70.65
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Solution
The fourth proportional to 97.50, 146.27 and 70.65 is: 105.99
Step by Step Solution
- Step 1: Write the proportion equation
97.50 : 146.27 = 70.65 : x - Step 2: Convert to fraction form
97.50/146.27 = 70.65/x - Step 3: Cross multiply
97.50x = 146.27 × 70.65 - Step 4: Simplify right side
97.50x = 10,333.98 - Step 5: Solve for x
x = 10,333.98/97.50 - Step 6: Final answer
x = 105.99
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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.