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Finding the Fourth Proportional to 276.80, 381.89 and 178.55

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Solution

The fourth proportional to 276.80, 381.89 and 178.55 is: 246.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.80 : 381.89 = 178.55 : x
  2. Step 2: Convert to fraction form
    276.80/381.89 = 178.55/x
  3. Step 3: Cross multiply
    276.80x = 381.89 × 178.55
  4. Step 4: Simplify right side
    276.80x = 68,183.66
  5. Step 5: Solve for x
    x = 68,183.66/276.80
  6. Step 6: Final answer
    x = 246.33

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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.