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Finding the Fourth Proportional to 232.80, 321.36 and 189.36

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Solution

The fourth proportional to 232.80, 321.36 and 189.36 is: 261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.80 : 321.36 = 189.36 : x
  2. Step 2: Convert to fraction form
    232.80/321.36 = 189.36/x
  3. Step 3: Cross multiply
    232.80x = 321.36 × 189.36
  4. Step 4: Simplify right side
    232.80x = 60,852.73
  5. Step 5: Solve for x
    x = 60,852.73/232.80
  6. Step 6: Final answer
    x = 261.39

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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.