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Finding the Fourth Proportional to 232.42, 321 and 170.14

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Solution

The fourth proportional to 232.42, 321 and 170.14 is: 234.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.42 : 321 = 170.14 : x
  2. Step 2: Convert to fraction form
    232.42/321 = 170.14/x
  3. Step 3: Cross multiply
    232.42x = 321 × 170.14
  4. Step 4: Simplify right side
    232.42x = 54,614.94
  5. Step 5: Solve for x
    x = 54,614.94/232.42
  6. Step 6: Final answer
    x = 234.98

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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.