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Finding the Fourth Proportional to 198.10, 297.11 and 89.87

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Solution

The fourth proportional to 198.10, 297.11 and 89.87 is: 134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.10 : 297.11 = 89.87 : x
  2. Step 2: Convert to fraction form
    198.10/297.11 = 89.87/x
  3. Step 3: Cross multiply
    198.10x = 297.11 × 89.87
  4. Step 4: Simplify right side
    198.10x = 26,700.01
  5. Step 5: Solve for x
    x = 26,700.01/198.10
  6. Step 6: Final answer
    x = 134.78

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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.