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Finding the Fourth Proportional to 449.25, 619.81 and 281.09

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Solution

The fourth proportional to 449.25, 619.81 and 281.09 is: 387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.25 : 619.81 = 281.09 : x
  2. Step 2: Convert to fraction form
    449.25/619.81 = 281.09/x
  3. Step 3: Cross multiply
    449.25x = 619.81 × 281.09
  4. Step 4: Simplify right side
    449.25x = 174,217.89
  5. Step 5: Solve for x
    x = 174,217.89/449.25
  6. Step 6: Final answer
    x = 387.80

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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.