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Finding the Fourth Proportional to 256.96, 385.71 and 112.78

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Solution

The fourth proportional to 256.96, 385.71 and 112.78 is: 169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.96 : 385.71 = 112.78 : x
  2. Step 2: Convert to fraction form
    256.96/385.71 = 112.78/x
  3. Step 3: Cross multiply
    256.96x = 385.71 × 112.78
  4. Step 4: Simplify right side
    256.96x = 43,500.37
  5. Step 5: Solve for x
    x = 43,500.37/256.96
  6. Step 6: Final answer
    x = 169.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.