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Finding the Fourth Proportional to 276.87, 382.17 and 178.63

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Solution

The fourth proportional to 276.87, 382.17 and 178.63 is: 246.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.87 : 382.17 = 178.63 : x
  2. Step 2: Convert to fraction form
    276.87/382.17 = 178.63/x
  3. Step 3: Cross multiply
    276.87x = 382.17 × 178.63
  4. Step 4: Simplify right side
    276.87x = 68,266.74
  5. Step 5: Solve for x
    x = 68,266.74/276.87
  6. Step 6: Final answer
    x = 246.56

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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.