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Finding the Fourth Proportional to 232.38, 346.95 and 199.89

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Solution

The fourth proportional to 232.38, 346.95 and 199.89 is: 298.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.38 : 346.95 = 199.89 : x
  2. Step 2: Convert to fraction form
    232.38/346.95 = 199.89/x
  3. Step 3: Cross multiply
    232.38x = 346.95 × 199.89
  4. Step 4: Simplify right side
    232.38x = 69,351.84
  5. Step 5: Solve for x
    x = 69,351.84/232.38
  6. Step 6: Final answer
    x = 298.44

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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.