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Finding the Fourth Proportional to 199.80, 298.08 and 163.62

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Solution

The fourth proportional to 199.80, 298.08 and 163.62 is: 244.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.80 : 298.08 = 163.62 : x
  2. Step 2: Convert to fraction form
    199.80/298.08 = 163.62/x
  3. Step 3: Cross multiply
    199.80x = 298.08 × 163.62
  4. Step 4: Simplify right side
    199.80x = 48,771.85
  5. Step 5: Solve for x
    x = 48,771.85/199.80
  6. Step 6: Final answer
    x = 244.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.