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Finding the Fourth Proportional to 99.42, 149.09 and 30.92

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Solution

The fourth proportional to 99.42, 149.09 and 30.92 is: 46.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.42 : 149.09 = 30.92 : x
  2. Step 2: Convert to fraction form
    99.42/149.09 = 30.92/x
  3. Step 3: Cross multiply
    99.42x = 149.09 × 30.92
  4. Step 4: Simplify right side
    99.42x = 4,609.86
  5. Step 5: Solve for x
    x = 4,609.86/99.42
  6. Step 6: Final answer
    x = 46.37

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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.