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Finding the Fourth Proportional to 664.09, 996.24 and 201.83

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Solution

The fourth proportional to 664.09, 996.24 and 201.83 is: 302.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 996.24 = 201.83 : x
  2. Step 2: Convert to fraction form
    664.09/996.24 = 201.83/x
  3. Step 3: Cross multiply
    664.09x = 996.24 × 201.83
  4. Step 4: Simplify right side
    664.09x = 201,067.88
  5. Step 5: Solve for x
    x = 201,067.88/664.09
  6. Step 6: Final answer
    x = 302.77

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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.