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Finding the Fourth Proportional to 232.34, 320.99 and 197.73

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Solution

The fourth proportional to 232.34, 320.99 and 197.73 is: 273.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.34 : 320.99 = 197.73 : x
  2. Step 2: Convert to fraction form
    232.34/320.99 = 197.73/x
  3. Step 3: Cross multiply
    232.34x = 320.99 × 197.73
  4. Step 4: Simplify right side
    232.34x = 63,468.36
  5. Step 5: Solve for x
    x = 63,468.36/232.34
  6. Step 6: Final answer
    x = 273.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.