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Finding the Fourth Proportional to 185.38, 278.10 and 69.88

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Solution

The fourth proportional to 185.38, 278.10 and 69.88 is: 104.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 278.10 = 69.88 : x
  2. Step 2: Convert to fraction form
    185.38/278.10 = 69.88/x
  3. Step 3: Cross multiply
    185.38x = 278.10 × 69.88
  4. Step 4: Simplify right side
    185.38x = 19,433.63
  5. Step 5: Solve for x
    x = 19,433.63/185.38
  6. Step 6: Final answer
    x = 104.83

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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.