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Finding the Fourth Proportional to 185.10, 278.06 and 139.65

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Solution

The fourth proportional to 185.10, 278.06 and 139.65 is: 209.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.10 : 278.06 = 139.65 : x
  2. Step 2: Convert to fraction form
    185.10/278.06 = 139.65/x
  3. Step 3: Cross multiply
    185.10x = 278.06 × 139.65
  4. Step 4: Simplify right side
    185.10x = 38,830.38
  5. Step 5: Solve for x
    x = 38,830.38/185.10
  6. Step 6: Final answer
    x = 209.78

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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.