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Finding the Fourth Proportional to 187.76, 282.17 and 110.73

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Solution

The fourth proportional to 187.76, 282.17 and 110.73 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.76 : 282.17 = 110.73 : x
  2. Step 2: Convert to fraction form
    187.76/282.17 = 110.73/x
  3. Step 3: Cross multiply
    187.76x = 282.17 × 110.73
  4. Step 4: Simplify right side
    187.76x = 31,244.13
  5. Step 5: Solve for x
    x = 31,244.13/187.76
  6. Step 6: Final answer
    x = 166.41

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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.