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Finding the Fourth Proportional to 299.41, 445.20 and 287.11

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Solution

The fourth proportional to 299.41, 445.20 and 287.11 is: 426.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.41 : 445.20 = 287.11 : x
  2. Step 2: Convert to fraction form
    299.41/445.20 = 287.11/x
  3. Step 3: Cross multiply
    299.41x = 445.20 × 287.11
  4. Step 4: Simplify right side
    299.41x = 127,818.97
  5. Step 5: Solve for x
    x = 127,818.97/299.41
  6. Step 6: Final answer
    x = 426.90

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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.