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Finding the Fourth Proportional to 256.71, 382.89 and 249

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Solution

The fourth proportional to 256.71, 382.89 and 249 is: 371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.71 : 382.89 = 249 : x
  2. Step 2: Convert to fraction form
    256.71/382.89 = 249/x
  3. Step 3: Cross multiply
    256.71x = 382.89 × 249
  4. Step 4: Simplify right side
    256.71x = 95,339.61
  5. Step 5: Solve for x
    x = 95,339.61/256.71
  6. Step 6: Final answer
    x = 371.39

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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.