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Finding the Fourth Proportional to 185.20, 278.03 and 139.84

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Solution

The fourth proportional to 185.20, 278.03 and 139.84 is: 209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 278.03 = 139.84 : x
  2. Step 2: Convert to fraction form
    185.20/278.03 = 139.84/x
  3. Step 3: Cross multiply
    185.20x = 278.03 × 139.84
  4. Step 4: Simplify right side
    185.20x = 38,879.37
  5. Step 5: Solve for x
    x = 38,879.37/185.20
  6. Step 6: Final answer
    x = 209.93

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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.