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Finding the Fourth Proportional to 276.63, 381.45 and 217.50

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Solution

The fourth proportional to 276.63, 381.45 and 217.50 is: 299.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.63 : 381.45 = 217.50 : x
  2. Step 2: Convert to fraction form
    276.63/381.45 = 217.50/x
  3. Step 3: Cross multiply
    276.63x = 381.45 × 217.50
  4. Step 4: Simplify right side
    276.63x = 82,965.38
  5. Step 5: Solve for x
    x = 82,965.38/276.63
  6. Step 6: Final answer
    x = 299.91

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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.