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Finding the Fourth Proportional to 278.28, 416.97 and 267.61

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Solution

The fourth proportional to 278.28, 416.97 and 267.61 is: 400.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.28 : 416.97 = 267.61 : x
  2. Step 2: Convert to fraction form
    278.28/416.97 = 267.61/x
  3. Step 3: Cross multiply
    278.28x = 416.97 × 267.61
  4. Step 4: Simplify right side
    278.28x = 111,585.95
  5. Step 5: Solve for x
    x = 111,585.95/278.28
  6. Step 6: Final answer
    x = 400.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.