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Finding the Fourth Proportional to 199.87, 298.59 and 163.42

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Solution

The fourth proportional to 199.87, 298.59 and 163.42 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.87 : 298.59 = 163.42 : x
  2. Step 2: Convert to fraction form
    199.87/298.59 = 163.42/x
  3. Step 3: Cross multiply
    199.87x = 298.59 × 163.42
  4. Step 4: Simplify right side
    199.87x = 48,794.22
  5. Step 5: Solve for x
    x = 48,794.22/199.87
  6. Step 6: Final answer
    x = 244.13

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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.