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Finding the Fourth Proportional to 256.14, 351.20 and 252.90

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Solution

The fourth proportional to 256.14, 351.20 and 252.90 is: 346.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 351.20 = 252.90 : x
  2. Step 2: Convert to fraction form
    256.14/351.20 = 252.90/x
  3. Step 3: Cross multiply
    256.14x = 351.20 × 252.90
  4. Step 4: Simplify right side
    256.14x = 88,819.11
  5. Step 5: Solve for x
    x = 88,819.11/256.14
  6. Step 6: Final answer
    x = 346.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.