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Finding the Fourth Proportional to 256.14, 381.12 and 250.50

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Solution

The fourth proportional to 256.14, 381.12 and 250.50 is: 372.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.14 : 381.12 = 250.50 : x
  2. Step 2: Convert to fraction form
    256.14/381.12 = 250.50/x
  3. Step 3: Cross multiply
    256.14x = 381.12 × 250.50
  4. Step 4: Simplify right side
    256.14x = 95,470.56
  5. Step 5: Solve for x
    x = 95,470.56/256.14
  6. Step 6: Final answer
    x = 372.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.