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Finding the Fourth Proportional to 276.44, 381.21 and 249.09

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Solution

The fourth proportional to 276.44, 381.21 and 249.09 is: 343.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.44 : 381.21 = 249.09 : x
  2. Step 2: Convert to fraction form
    276.44/381.21 = 249.09/x
  3. Step 3: Cross multiply
    276.44x = 381.21 × 249.09
  4. Step 4: Simplify right side
    276.44x = 94,955.60
  5. Step 5: Solve for x
    x = 94,955.60/276.44
  6. Step 6: Final answer
    x = 343.50

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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.