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Finding the Fourth Proportional to 449.40, 620.17 and 252.92

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Solution

The fourth proportional to 449.40, 620.17 and 252.92 is: 349.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.40 : 620.17 = 252.92 : x
  2. Step 2: Convert to fraction form
    449.40/620.17 = 252.92/x
  3. Step 3: Cross multiply
    449.40x = 620.17 × 252.92
  4. Step 4: Simplify right side
    449.40x = 156,854.31
  5. Step 5: Solve for x
    x = 156,854.31/449.40
  6. Step 6: Final answer
    x = 349.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.