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Finding the Fourth Proportional to 664.43, 996.45 and 253.44

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Solution

The fourth proportional to 664.43, 996.45 and 253.44 is: 380.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.43 : 996.45 = 253.44 : x
  2. Step 2: Convert to fraction form
    664.43/996.45 = 253.44/x
  3. Step 3: Cross multiply
    664.43x = 996.45 × 253.44
  4. Step 4: Simplify right side
    664.43x = 252,540.29
  5. Step 5: Solve for x
    x = 252,540.29/664.43
  6. Step 6: Final answer
    x = 380.09

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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.