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Finding the Fourth Proportional to 99.11, 147.84 and 97.79

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Solution

The fourth proportional to 99.11, 147.84 and 97.79 is: 145.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.11 : 147.84 = 97.79 : x
  2. Step 2: Convert to fraction form
    99.11/147.84 = 97.79/x
  3. Step 3: Cross multiply
    99.11x = 147.84 × 97.79
  4. Step 4: Simplify right side
    99.11x = 14,456.53
  5. Step 5: Solve for x
    x = 14,456.53/99.11
  6. Step 6: Final answer
    x = 145.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.