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Finding the Fourth Proportional to 185.53, 278.07 and 139.73

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Solution

The fourth proportional to 185.53, 278.07 and 139.73 is: 209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.53 : 278.07 = 139.73 : x
  2. Step 2: Convert to fraction form
    185.53/278.07 = 139.73/x
  3. Step 3: Cross multiply
    185.53x = 278.07 × 139.73
  4. Step 4: Simplify right side
    185.53x = 38,853.85
  5. Step 5: Solve for x
    x = 38,853.85/185.53
  6. Step 6: Final answer
    x = 209.42

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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.