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Finding the Fourth Proportional to 198.89, 298.30 and 61.94

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Solution

The fourth proportional to 198.89, 298.30 and 61.94 is: 92.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.89 : 298.30 = 61.94 : x
  2. Step 2: Convert to fraction form
    198.89/298.30 = 61.94/x
  3. Step 3: Cross multiply
    198.89x = 298.30 × 61.94
  4. Step 4: Simplify right side
    198.89x = 18,476.70
  5. Step 5: Solve for x
    x = 18,476.70/198.89
  6. Step 6: Final answer
    x = 92.90

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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.