Finding the Fourth Proportional to 71.52, 107.24 and 48.70
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Solution
The fourth proportional to 71.52, 107.24 and 48.70 is: 73.02
Step by Step Solution
- Step 1: Write the proportion equation
71.52 : 107.24 = 48.70 : x - Step 2: Convert to fraction form
71.52/107.24 = 48.70/x - Step 3: Cross multiply
71.52x = 107.24 × 48.70 - Step 4: Simplify right side
71.52x = 5,222.05 - Step 5: Solve for x
x = 5,222.05/71.52 - Step 6: Final answer
x = 73.02
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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.