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Finding the Fourth Proportional to 299.47, 449.21 and 107.09

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Solution

The fourth proportional to 299.47, 449.21 and 107.09 is: 160.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.47 : 449.21 = 107.09 : x
  2. Step 2: Convert to fraction form
    299.47/449.21 = 107.09/x
  3. Step 3: Cross multiply
    299.47x = 449.21 × 107.09
  4. Step 4: Simplify right side
    299.47x = 48,105.90
  5. Step 5: Solve for x
    x = 48,105.90/299.47
  6. Step 6: Final answer
    x = 160.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.