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Finding the Fourth Proportional to 198.80, 297.98 and 149.89

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Solution

The fourth proportional to 198.80, 297.98 and 149.89 is: 224.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 297.98 = 149.89 : x
  2. Step 2: Convert to fraction form
    198.80/297.98 = 149.89/x
  3. Step 3: Cross multiply
    198.80x = 297.98 × 149.89
  4. Step 4: Simplify right side
    198.80x = 44,664.55
  5. Step 5: Solve for x
    x = 44,664.55/198.80
  6. Step 6: Final answer
    x = 224.67

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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.