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Finding the Fourth Proportional to 276.96, 381.36 and 249.44

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Solution

The fourth proportional to 276.96, 381.36 and 249.44 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.96 : 381.36 = 249.44 : x
  2. Step 2: Convert to fraction form
    276.96/381.36 = 249.44/x
  3. Step 3: Cross multiply
    276.96x = 381.36 × 249.44
  4. Step 4: Simplify right side
    276.96x = 95,126.44
  5. Step 5: Solve for x
    x = 95,126.44/276.96
  6. Step 6: Final answer
    x = 343.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.