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Finding the Fourth Proportional to 276.89, 381.94 and 178.68

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Solution

The fourth proportional to 276.89, 381.94 and 178.68 is: 246.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.89 : 381.94 = 178.68 : x
  2. Step 2: Convert to fraction form
    276.89/381.94 = 178.68/x
  3. Step 3: Cross multiply
    276.89x = 381.94 × 178.68
  4. Step 4: Simplify right side
    276.89x = 68,245.04
  5. Step 5: Solve for x
    x = 68,245.04/276.89
  6. Step 6: Final answer
    x = 246.47

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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.