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Finding the Fourth Proportional to 99.65, 149.45 and 31.17

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Solution

The fourth proportional to 99.65, 149.45 and 31.17 is: 46.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.65 : 149.45 = 31.17 : x
  2. Step 2: Convert to fraction form
    99.65/149.45 = 31.17/x
  3. Step 3: Cross multiply
    99.65x = 149.45 × 31.17
  4. Step 4: Simplify right side
    99.65x = 4,657.64
  5. Step 5: Solve for x
    x = 4,657.64/99.65
  6. Step 6: Final answer
    x = 46.74

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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.