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Finding the Fourth Proportional to 110.91, 167.33 and 110.61

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Solution

The fourth proportional to 110.91, 167.33 and 110.61 is: 166.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.91 : 167.33 = 110.61 : x
  2. Step 2: Convert to fraction form
    110.91/167.33 = 110.61/x
  3. Step 3: Cross multiply
    110.91x = 167.33 × 110.61
  4. Step 4: Simplify right side
    110.91x = 18,508.65
  5. Step 5: Solve for x
    x = 18,508.65/110.91
  6. Step 6: Final answer
    x = 166.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.