Finding the Fourth Proportional to 149.38, 206.09 and 97.70
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Solution
The fourth proportional to 149.38, 206.09 and 97.70 is: 134.79
Step by Step Solution
- Step 1: Write the proportion equation
149.38 : 206.09 = 97.70 : x - Step 2: Convert to fraction form
149.38/206.09 = 97.70/x - Step 3: Cross multiply
149.38x = 206.09 × 97.70 - Step 4: Simplify right side
149.38x = 20,134.99 - Step 5: Solve for x
x = 20,134.99/149.38 - Step 6: Final answer
x = 134.79
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.