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Finding the Fourth Proportional to 113.72, 169.90 and 100.35

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Solution

The fourth proportional to 113.72, 169.90 and 100.35 is: 149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.72 : 169.90 = 100.35 : x
  2. Step 2: Convert to fraction form
    113.72/169.90 = 100.35/x
  3. Step 3: Cross multiply
    113.72x = 169.90 × 100.35
  4. Step 4: Simplify right side
    113.72x = 17,049.47
  5. Step 5: Solve for x
    x = 17,049.47/113.72
  6. Step 6: Final answer
    x = 149.92

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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.