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Finding the Fourth Proportional to 99.65, 149.47 and 31.18

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Solution

The fourth proportional to 99.65, 149.47 and 31.18 is: 46.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 149.47 = 31.18 : x
  2. Step 2: Convert to fraction form
    99.65/149.47 = 31.18/x
  3. Step 3: Cross multiply
    99.65x = 149.47 × 31.18
  4. Step 4: Simplify right side
    99.65x = 4,659.57
  5. Step 5: Solve for x
    x = 4,659.57/99.65
  6. Step 6: Final answer
    x = 46.76

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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.