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Finding the Fourth Proportional to 187.38, 279.76 and 166.88

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Solution

The fourth proportional to 187.38, 279.76 and 166.88 is: 249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.38 : 279.76 = 166.88 : x
  2. Step 2: Convert to fraction form
    187.38/279.76 = 166.88/x
  3. Step 3: Cross multiply
    187.38x = 279.76 × 166.88
  4. Step 4: Simplify right side
    187.38x = 46,686.35
  5. Step 5: Solve for x
    x = 46,686.35/187.38
  6. Step 6: Final answer
    x = 249.15

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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.