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Finding the Fourth Proportional to 276.44, 381.70 and 255.70

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Solution

The fourth proportional to 276.44, 381.70 and 255.70 is: 353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.44 : 381.70 = 255.70 : x
  2. Step 2: Convert to fraction form
    276.44/381.70 = 255.70/x
  3. Step 3: Cross multiply
    276.44x = 381.70 × 255.70
  4. Step 4: Simplify right side
    276.44x = 97,600.69
  5. Step 5: Solve for x
    x = 97,600.69/276.44
  6. Step 6: Final answer
    x = 353.06

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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.