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Finding the Fourth Proportional to 276.52, 381.36 and 218.20

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Solution

The fourth proportional to 276.52, 381.36 and 218.20 is: 300.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.52 : 381.36 = 218.20 : x
  2. Step 2: Convert to fraction form
    276.52/381.36 = 218.20/x
  3. Step 3: Cross multiply
    276.52x = 381.36 × 218.20
  4. Step 4: Simplify right side
    276.52x = 83,212.75
  5. Step 5: Solve for x
    x = 83,212.75/276.52
  6. Step 6: Final answer
    x = 300.93

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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.