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Finding the Fourth Proportional to 664.97, 997.41 and 254.15

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Solution

The fourth proportional to 664.97, 997.41 and 254.15 is: 381.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.97 : 997.41 = 254.15 : x
  2. Step 2: Convert to fraction form
    664.97/997.41 = 254.15/x
  3. Step 3: Cross multiply
    664.97x = 997.41 × 254.15
  4. Step 4: Simplify right side
    664.97x = 253,486.76
  5. Step 5: Solve for x
    x = 253,486.76/664.97
  6. Step 6: Final answer
    x = 381.20

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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.