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Finding the Fourth Proportional to 256.29, 351.38 and 251.68

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Solution

The fourth proportional to 256.29, 351.38 and 251.68 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.29 : 351.38 = 251.68 : x
  2. Step 2: Convert to fraction form
    256.29/351.38 = 251.68/x
  3. Step 3: Cross multiply
    256.29x = 351.38 × 251.68
  4. Step 4: Simplify right side
    256.29x = 88,432.30
  5. Step 5: Solve for x
    x = 88,432.30/256.29
  6. Step 6: Final answer
    x = 345.05

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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.