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Finding the Fourth Proportional to 198.80, 297.87 and 68.73

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Solution

The fourth proportional to 198.80, 297.87 and 68.73 is: 102.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 297.87 = 68.73 : x
  2. Step 2: Convert to fraction form
    198.80/297.87 = 68.73/x
  3. Step 3: Cross multiply
    198.80x = 297.87 × 68.73
  4. Step 4: Simplify right side
    198.80x = 20,470.77
  5. Step 5: Solve for x
    x = 20,470.77/198.80
  6. Step 6: Final answer
    x = 102.97

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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.