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Finding the Fourth Proportional to 663.98, 996.00 and 253.15

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Solution

The fourth proportional to 663.98, 996.00 and 253.15 is: 379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.98 : 996.00 = 253.15 : x
  2. Step 2: Convert to fraction form
    663.98/996.00 = 253.15/x
  3. Step 3: Cross multiply
    663.98x = 996.00 × 253.15
  4. Step 4: Simplify right side
    663.98x = 252,131.15
  5. Step 5: Solve for x
    x = 252,131.15/663.98
  6. Step 6: Final answer
    x = 379.73

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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.