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Finding the Fourth Proportional to 276.88, 382.03 and 218.83

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Solution

The fourth proportional to 276.88, 382.03 and 218.83 is: 301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.88 : 382.03 = 218.83 : x
  2. Step 2: Convert to fraction form
    276.88/382.03 = 218.83/x
  3. Step 3: Cross multiply
    276.88x = 382.03 × 218.83
  4. Step 4: Simplify right side
    276.88x = 83,599.62
  5. Step 5: Solve for x
    x = 83,599.62/276.88
  6. Step 6: Final answer
    x = 301.93

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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.