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Finding the Fourth Proportional to 232.38, 346.19 and 218.39

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Solution

The fourth proportional to 232.38, 346.19 and 218.39 is: 325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 346.19 = 218.39 : x
  2. Step 2: Convert to fraction form
    232.38/346.19 = 218.39/x
  3. Step 3: Cross multiply
    232.38x = 346.19 × 218.39
  4. Step 4: Simplify right side
    232.38x = 75,601.61
  5. Step 5: Solve for x
    x = 75,601.61/232.38
  6. Step 6: Final answer
    x = 325.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.