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Finding the Fourth Proportional to 232.81, 321.14 and 194.86

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Solution

The fourth proportional to 232.81, 321.14 and 194.86 is: 268.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.81 : 321.14 = 194.86 : x
  2. Step 2: Convert to fraction form
    232.81/321.14 = 194.86/x
  3. Step 3: Cross multiply
    232.81x = 321.14 × 194.86
  4. Step 4: Simplify right side
    232.81x = 62,577.34
  5. Step 5: Solve for x
    x = 62,577.34/232.81
  6. Step 6: Final answer
    x = 268.79

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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.