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Finding the Fourth Proportional to 278.14, 381.05 and 267.76

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Solution

The fourth proportional to 278.14, 381.05 and 267.76 is: 366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.14 : 381.05 = 267.76 : x
  2. Step 2: Convert to fraction form
    278.14/381.05 = 267.76/x
  3. Step 3: Cross multiply
    278.14x = 381.05 × 267.76
  4. Step 4: Simplify right side
    278.14x = 102,026.70
  5. Step 5: Solve for x
    x = 102,026.70/278.14
  6. Step 6: Final answer
    x = 366.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.