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Finding the Fourth Proportional to 663.99, 996.13 and 201.77

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Solution

The fourth proportional to 663.99, 996.13 and 201.77 is: 302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.99 : 996.13 = 201.77 : x
  2. Step 2: Convert to fraction form
    663.99/996.13 = 201.77/x
  3. Step 3: Cross multiply
    663.99x = 996.13 × 201.77
  4. Step 4: Simplify right side
    663.99x = 200,989.15
  5. Step 5: Solve for x
    x = 200,989.15/663.99
  6. Step 6: Final answer
    x = 302.70

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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.