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Finding the Fourth Proportional to 664.22, 996.30 and 201.99

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Solution

The fourth proportional to 664.22, 996.30 and 201.99 is: 302.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.22 : 996.30 = 201.99 : x
  2. Step 2: Convert to fraction form
    664.22/996.30 = 201.99/x
  3. Step 3: Cross multiply
    664.22x = 996.30 × 201.99
  4. Step 4: Simplify right side
    664.22x = 201,245.38
  5. Step 5: Solve for x
    x = 201,245.38/664.22
  6. Step 6: Final answer
    x = 302.98

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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.