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Finding the Fourth Proportional to 299.84, 447.28 and 267.44

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Solution

The fourth proportional to 299.84, 447.28 and 267.44 is: 398.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 447.28 = 267.44 : x
  2. Step 2: Convert to fraction form
    299.84/447.28 = 267.44/x
  3. Step 3: Cross multiply
    299.84x = 447.28 × 267.44
  4. Step 4: Simplify right side
    299.84x = 119,620.56
  5. Step 5: Solve for x
    x = 119,620.56/299.84
  6. Step 6: Final answer
    x = 398.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.