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Finding the Fourth Proportional to 256.04, 382.11 and 249.56

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Solution

The fourth proportional to 256.04, 382.11 and 249.56 is: 372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.04 : 382.11 = 249.56 : x
  2. Step 2: Convert to fraction form
    256.04/382.11 = 249.56/x
  3. Step 3: Cross multiply
    256.04x = 382.11 × 249.56
  4. Step 4: Simplify right side
    256.04x = 95,357.46
  5. Step 5: Solve for x
    x = 95,357.46/256.04
  6. Step 6: Final answer
    x = 372.44

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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.