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Finding the Fourth Proportional to 232.83, 349.34 and 198.69

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Solution

The fourth proportional to 232.83, 349.34 and 198.69 is: 298.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.83 : 349.34 = 198.69 : x
  2. Step 2: Convert to fraction form
    232.83/349.34 = 198.69/x
  3. Step 3: Cross multiply
    232.83x = 349.34 × 198.69
  4. Step 4: Simplify right side
    232.83x = 69,409.37
  5. Step 5: Solve for x
    x = 69,409.37/232.83
  6. Step 6: Final answer
    x = 298.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.