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Finding the Fourth Proportional to 663.98, 996.04 and 201.68

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Solution

The fourth proportional to 663.98, 996.04 and 201.68 is: 302.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.98 : 996.04 = 201.68 : x
  2. Step 2: Convert to fraction form
    663.98/996.04 = 201.68/x
  3. Step 3: Cross multiply
    663.98x = 996.04 × 201.68
  4. Step 4: Simplify right side
    663.98x = 200,881.35
  5. Step 5: Solve for x
    x = 200,881.35/663.98
  6. Step 6: Final answer
    x = 302.54

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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.