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Finding the Fourth Proportional to 299.72, 446.61 and 267.41

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Solution

The fourth proportional to 299.72, 446.61 and 267.41 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 446.61 = 267.41 : x
  2. Step 2: Convert to fraction form
    299.72/446.61 = 267.41/x
  3. Step 3: Cross multiply
    299.72x = 446.61 × 267.41
  4. Step 4: Simplify right side
    299.72x = 119,427.98
  5. Step 5: Solve for x
    x = 119,427.98/299.72
  6. Step 6: Final answer
    x = 398.47

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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.