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Finding the Fourth Proportional to 276.50, 381.38 and 178.22

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Solution

The fourth proportional to 276.50, 381.38 and 178.22 is: 245.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.50 : 381.38 = 178.22 : x
  2. Step 2: Convert to fraction form
    276.50/381.38 = 178.22/x
  3. Step 3: Cross multiply
    276.50x = 381.38 × 178.22
  4. Step 4: Simplify right side
    276.50x = 67,969.54
  5. Step 5: Solve for x
    x = 67,969.54/276.50
  6. Step 6: Final answer
    x = 245.82

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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.