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Finding the Fourth Proportional to 198.53, 297.79 and 68.53

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Solution

The fourth proportional to 198.53, 297.79 and 68.53 is: 102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.53 : 297.79 = 68.53 : x
  2. Step 2: Convert to fraction form
    198.53/297.79 = 68.53/x
  3. Step 3: Cross multiply
    198.53x = 297.79 × 68.53
  4. Step 4: Simplify right side
    198.53x = 20,407.55
  5. Step 5: Solve for x
    x = 20,407.55/198.53
  6. Step 6: Final answer
    x = 102.79

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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.