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Finding the Fourth Proportional to 198.68, 298.07 and 83.18

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Solution

The fourth proportional to 198.68, 298.07 and 83.18 is: 124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.68 : 298.07 = 83.18 : x
  2. Step 2: Convert to fraction form
    198.68/298.07 = 83.18/x
  3. Step 3: Cross multiply
    198.68x = 298.07 × 83.18
  4. Step 4: Simplify right side
    198.68x = 24,791.56
  5. Step 5: Solve for x
    x = 24,791.56/198.68
  6. Step 6: Final answer
    x = 124.78

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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.