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Finding the Fourth Proportional to 232.86, 348.66 and 198.42

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Solution

The fourth proportional to 232.86, 348.66 and 198.42 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.86 : 348.66 = 198.42 : x
  2. Step 2: Convert to fraction form
    232.86/348.66 = 198.42/x
  3. Step 3: Cross multiply
    232.86x = 348.66 × 198.42
  4. Step 4: Simplify right side
    232.86x = 69,181.12
  5. Step 5: Solve for x
    x = 69,181.12/232.86
  6. Step 6: Final answer
    x = 297.09

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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.