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Finding the Fourth Proportional to 234.90, 323.55 and 198.03

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Solution

The fourth proportional to 234.90, 323.55 and 198.03 is: 272.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.90 : 323.55 = 198.03 : x
  2. Step 2: Convert to fraction form
    234.90/323.55 = 198.03/x
  3. Step 3: Cross multiply
    234.90x = 323.55 × 198.03
  4. Step 4: Simplify right side
    234.90x = 64,072.61
  5. Step 5: Solve for x
    x = 64,072.61/234.90
  6. Step 6: Final answer
    x = 272.77

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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.