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Finding the Fourth Proportional to 251.29, 346.78 and 140.78

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Solution

The fourth proportional to 251.29, 346.78 and 140.78 is: 194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.29 : 346.78 = 140.78 : x
  2. Step 2: Convert to fraction form
    251.29/346.78 = 140.78/x
  3. Step 3: Cross multiply
    251.29x = 346.78 × 140.78
  4. Step 4: Simplify right side
    251.29x = 48,819.69
  5. Step 5: Solve for x
    x = 48,819.69/251.29
  6. Step 6: Final answer
    x = 194.28

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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.