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Finding the Fourth Proportional to 658.43, 987.70 and 196.18

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Solution

The fourth proportional to 658.43, 987.70 and 196.18 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.43 : 987.70 = 196.18 : x
  2. Step 2: Convert to fraction form
    658.43/987.70 = 196.18/x
  3. Step 3: Cross multiply
    658.43x = 987.70 × 196.18
  4. Step 4: Simplify right side
    658.43x = 193,761.56
  5. Step 5: Solve for x
    x = 193,761.56/658.43
  6. Step 6: Final answer
    x = 294.28

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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.