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Finding the Fourth Proportional to 300, 447.68 and 267.60

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Solution

The fourth proportional to 300, 447.68 and 267.60 is: 399.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    300 : 447.68 = 267.60 : x
  2. Step 2: Convert to fraction form
    300/447.68 = 267.60/x
  3. Step 3: Cross multiply
    300x = 447.68 × 267.60
  4. Step 4: Simplify right side
    300x = 119,799.17
  5. Step 5: Solve for x
    x = 119,799.17/300
  6. Step 6: Final answer
    x = 399.33

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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.