Finding the Fourth Proportional to 71.20, 106.84 and 30.70
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Solution
The fourth proportional to 71.20, 106.84 and 30.70 is: 46.07
Step by Step Solution
- Step 1: Write the proportion equation
71.20 : 106.84 = 30.70 : x - Step 2: Convert to fraction form
71.20/106.84 = 30.70/x - Step 3: Cross multiply
71.20x = 106.84 × 30.70 - Step 4: Simplify right side
71.20x = 3,280.18 - Step 5: Solve for x
x = 3,280.18/71.20 - Step 6: Final answer
x = 46.07
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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.