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Finding the Fourth Proportional to 453.23, 680.12 and 196.73

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Solution

The fourth proportional to 453.23, 680.12 and 196.73 is: 295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.23 : 680.12 = 196.73 : x
  2. Step 2: Convert to fraction form
    453.23/680.12 = 196.73/x
  3. Step 3: Cross multiply
    453.23x = 680.12 × 196.73
  4. Step 4: Simplify right side
    453.23x = 133,800.01
  5. Step 5: Solve for x
    x = 133,800.01/453.23
  6. Step 6: Final answer
    x = 295.21

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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.