Finding the Fourth Proportional to 209.20, 313.80 and 93.70
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Solution
The fourth proportional to 209.20, 313.80 and 93.70 is: 140.55
Step by Step Solution
- Step 1: Write the proportion equation
209.20 : 313.80 = 93.70 : x - Step 2: Convert to fraction form
209.20/313.80 = 93.70/x - Step 3: Cross multiply
209.20x = 313.80 × 93.70 - Step 4: Simplify right side
209.20x = 29,403.06 - Step 5: Solve for x
x = 29,403.06/209.20 - Step 6: Final answer
x = 140.55
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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.