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Finding the Fourth Proportional to 198.18, 297.36 and 82.59

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Solution

The fourth proportional to 198.18, 297.36 and 82.59 is: 123.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.18 : 297.36 = 82.59 : x
  2. Step 2: Convert to fraction form
    198.18/297.36 = 82.59/x
  3. Step 3: Cross multiply
    198.18x = 297.36 × 82.59
  4. Step 4: Simplify right side
    198.18x = 24,558.96
  5. Step 5: Solve for x
    x = 24,558.96/198.18
  6. Step 6: Final answer
    x = 123.92

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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.