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Finding the Fourth Proportional to 185.20, 255.57 and 101.17

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Solution

The fourth proportional to 185.20, 255.57 and 101.17 is: 139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.20 : 255.57 = 101.17 : x
  2. Step 2: Convert to fraction form
    185.20/255.57 = 101.17/x
  3. Step 3: Cross multiply
    185.20x = 255.57 × 101.17
  4. Step 4: Simplify right side
    185.20x = 25,856.02
  5. Step 5: Solve for x
    x = 25,856.02/185.20
  6. Step 6: Final answer
    x = 139.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.