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Finding the Fourth Proportional to 232.98, 321.62 and 189.24

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Solution

The fourth proportional to 232.98, 321.62 and 189.24 is: 261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.98 : 321.62 = 189.24 : x
  2. Step 2: Convert to fraction form
    232.98/321.62 = 189.24/x
  3. Step 3: Cross multiply
    232.98x = 321.62 × 189.24
  4. Step 4: Simplify right side
    232.98x = 60,862.42
  5. Step 5: Solve for x
    x = 60,862.42/232.98
  6. Step 6: Final answer
    x = 261.23

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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.