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Finding the Fourth Proportional to 185.47, 278.20 and 69.91

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Solution

The fourth proportional to 185.47, 278.20 and 69.91 is: 104.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.47 : 278.20 = 69.91 : x
  2. Step 2: Convert to fraction form
    185.47/278.20 = 69.91/x
  3. Step 3: Cross multiply
    185.47x = 278.20 × 69.91
  4. Step 4: Simplify right side
    185.47x = 19,448.96
  5. Step 5: Solve for x
    x = 19,448.96/185.47
  6. Step 6: Final answer
    x = 104.86

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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.