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Finding the Fourth Proportional to 276.13, 381.20 and 216.99

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Solution

The fourth proportional to 276.13, 381.20 and 216.99 is: 299.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 381.20 = 216.99 : x
  2. Step 2: Convert to fraction form
    276.13/381.20 = 216.99/x
  3. Step 3: Cross multiply
    276.13x = 381.20 × 216.99
  4. Step 4: Simplify right side
    276.13x = 82,716.59
  5. Step 5: Solve for x
    x = 82,716.59/276.13
  6. Step 6: Final answer
    x = 299.56

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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.