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Finding the Fourth Proportional to 276.22, 381.20 and 159.78

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Solution

The fourth proportional to 276.22, 381.20 and 159.78 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.22 : 381.20 = 159.78 : x
  2. Step 2: Convert to fraction form
    276.22/381.20 = 159.78/x
  3. Step 3: Cross multiply
    276.22x = 381.20 × 159.78
  4. Step 4: Simplify right side
    276.22x = 60,908.14
  5. Step 5: Solve for x
    x = 60,908.14/276.22
  6. Step 6: Final answer
    x = 220.51

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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.