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Finding the Fourth Proportional to 235.35, 323.20 and 198.45

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Solution

The fourth proportional to 235.35, 323.20 and 198.45 is: 272.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.35 : 323.20 = 198.45 : x
  2. Step 2: Convert to fraction form
    235.35/323.20 = 198.45/x
  3. Step 3: Cross multiply
    235.35x = 323.20 × 198.45
  4. Step 4: Simplify right side
    235.35x = 64,138.54
  5. Step 5: Solve for x
    x = 64,138.54/235.35
  6. Step 6: Final answer
    x = 272.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.