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Finding the Fourth Proportional to 664.31, 996.79 and 268.97

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Solution

The fourth proportional to 664.31, 996.79 and 268.97 is: 403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.31 : 996.79 = 268.97 : x
  2. Step 2: Convert to fraction form
    664.31/996.79 = 268.97/x
  3. Step 3: Cross multiply
    664.31x = 996.79 × 268.97
  4. Step 4: Simplify right side
    664.31x = 268,106.61
  5. Step 5: Solve for x
    x = 268,106.61/664.31
  6. Step 6: Final answer
    x = 403.59

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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.