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Finding the Fourth Proportional to 449.40, 620.12 and 252.87

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Solution

The fourth proportional to 449.40, 620.12 and 252.87 is: 348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.40 : 620.12 = 252.87 : x
  2. Step 2: Convert to fraction form
    449.40/620.12 = 252.87/x
  3. Step 3: Cross multiply
    449.40x = 620.12 × 252.87
  4. Step 4: Simplify right side
    449.40x = 156,809.74
  5. Step 5: Solve for x
    x = 156,809.74/449.40
  6. Step 6: Final answer
    x = 348.93

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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.