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Finding the Fourth Proportional to 299.87, 447.21 and 270.71

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Solution

The fourth proportional to 299.87, 447.21 and 270.71 is: 403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.87 : 447.21 = 270.71 : x
  2. Step 2: Convert to fraction form
    299.87/447.21 = 270.71/x
  3. Step 3: Cross multiply
    299.87x = 447.21 × 270.71
  4. Step 4: Simplify right side
    299.87x = 121,061.98
  5. Step 5: Solve for x
    x = 121,061.98/299.87
  6. Step 6: Final answer
    x = 403.72

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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.