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Finding the Fourth Proportional to 187.38, 279.72 and 166.86

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Solution

The fourth proportional to 187.38, 279.72 and 166.86 is: 249.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.38 : 279.72 = 166.86 : x
  2. Step 2: Convert to fraction form
    187.38/279.72 = 166.86/x
  3. Step 3: Cross multiply
    187.38x = 279.72 × 166.86
  4. Step 4: Simplify right side
    187.38x = 46,674.08
  5. Step 5: Solve for x
    x = 46,674.08/187.38
  6. Step 6: Final answer
    x = 249.09

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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.