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Finding the Fourth Proportional to 664.26, 996.90 and 253.68

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Solution

The fourth proportional to 664.26, 996.90 and 253.68 is: 380.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.26 : 996.90 = 253.68 : x
  2. Step 2: Convert to fraction form
    664.26/996.90 = 253.68/x
  3. Step 3: Cross multiply
    664.26x = 996.90 × 253.68
  4. Step 4: Simplify right side
    664.26x = 252,893.59
  5. Step 5: Solve for x
    x = 252,893.59/664.26
  6. Step 6: Final answer
    x = 380.71

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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.