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Finding the Fourth Proportional to 449.54, 674.31 and 257.03

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Solution

The fourth proportional to 449.54, 674.31 and 257.03 is: 385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.54 : 674.31 = 257.03 : x
  2. Step 2: Convert to fraction form
    449.54/674.31 = 257.03/x
  3. Step 3: Cross multiply
    449.54x = 674.31 × 257.03
  4. Step 4: Simplify right side
    449.54x = 173,320.23
  5. Step 5: Solve for x
    x = 173,320.23/449.54
  6. Step 6: Final answer
    x = 385.55

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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.