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Finding the Fourth Proportional to 449.30, 620.04 and 252.80

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Solution

The fourth proportional to 449.30, 620.04 and 252.80 is: 348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.30 : 620.04 = 252.80 : x
  2. Step 2: Convert to fraction form
    449.30/620.04 = 252.80/x
  3. Step 3: Cross multiply
    449.30x = 620.04 × 252.80
  4. Step 4: Simplify right side
    449.30x = 156,746.11
  5. Step 5: Solve for x
    x = 156,746.11/449.30
  6. Step 6: Final answer
    x = 348.87

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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.