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Finding the Fourth Proportional to 186.47, 279.86 and 76.85

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Solution

The fourth proportional to 186.47, 279.86 and 76.85 is: 115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.47 : 279.86 = 76.85 : x
  2. Step 2: Convert to fraction form
    186.47/279.86 = 76.85/x
  3. Step 3: Cross multiply
    186.47x = 279.86 × 76.85
  4. Step 4: Simplify right side
    186.47x = 21,505.46
  5. Step 5: Solve for x
    x = 21,505.46/186.47
  6. Step 6: Final answer
    x = 115.33

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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.