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Finding the Fourth Proportional to 99.89, 149.90 and 42.11

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Solution

The fourth proportional to 99.89, 149.90 and 42.11 is: 63.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.89 : 149.90 = 42.11 : x
  2. Step 2: Convert to fraction form
    99.89/149.90 = 42.11/x
  3. Step 3: Cross multiply
    99.89x = 149.90 × 42.11
  4. Step 4: Simplify right side
    99.89x = 6,311.33
  5. Step 5: Solve for x
    x = 6,311.33/99.89
  6. Step 6: Final answer
    x = 63.19

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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.