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Finding the Fourth Proportional to 199.50, 298.90 and 108.10

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Solution

The fourth proportional to 199.50, 298.90 and 108.10 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 298.90 = 108.10 : x
  2. Step 2: Convert to fraction form
    199.50/298.90 = 108.10/x
  3. Step 3: Cross multiply
    199.50x = 298.90 × 108.10
  4. Step 4: Simplify right side
    199.50x = 32,311.09
  5. Step 5: Solve for x
    x = 32,311.09/199.50
  6. Step 6: Final answer
    x = 161.96

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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.