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Finding the Fourth Proportional to 299.20, 447.12 and 270.40

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Solution

The fourth proportional to 299.20, 447.12 and 270.40 is: 404.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 447.12 = 270.40 : x
  2. Step 2: Convert to fraction form
    299.20/447.12 = 270.40/x
  3. Step 3: Cross multiply
    299.20x = 447.12 × 270.40
  4. Step 4: Simplify right side
    299.20x = 120,901.25
  5. Step 5: Solve for x
    x = 120,901.25/299.20
  6. Step 6: Final answer
    x = 404.08

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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.