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Finding the Fourth Proportional to 232.35, 321.39 and 189.69

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Solution

The fourth proportional to 232.35, 321.39 and 189.69 is: 262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.35 : 321.39 = 189.69 : x
  2. Step 2: Convert to fraction form
    232.35/321.39 = 189.69/x
  3. Step 3: Cross multiply
    232.35x = 321.39 × 189.69
  4. Step 4: Simplify right side
    232.35x = 60,964.47
  5. Step 5: Solve for x
    x = 60,964.47/232.35
  6. Step 6: Final answer
    x = 262.38

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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.