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Finding the Fourth Proportional to 185.38, 255.81 and 102.49

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Solution

The fourth proportional to 185.38, 255.81 and 102.49 is: 141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.38 : 255.81 = 102.49 : x
  2. Step 2: Convert to fraction form
    185.38/255.81 = 102.49/x
  3. Step 3: Cross multiply
    185.38x = 255.81 × 102.49
  4. Step 4: Simplify right side
    185.38x = 26,217.71
  5. Step 5: Solve for x
    x = 26,217.71/185.38
  6. Step 6: Final answer
    x = 141.42

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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.