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Finding the Fourth Proportional to 169.97, 234.52 and 111.76

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Solution

The fourth proportional to 169.97, 234.52 and 111.76 is: 154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.97 : 234.52 = 111.76 : x
  2. Step 2: Convert to fraction form
    169.97/234.52 = 111.76/x
  3. Step 3: Cross multiply
    169.97x = 234.52 × 111.76
  4. Step 4: Simplify right side
    169.97x = 26,209.09
  5. Step 5: Solve for x
    x = 26,209.09/169.97
  6. Step 6: Final answer
    x = 154.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.