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Finding the Fourth Proportional to 200.17, 298.81 and 169.42

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Solution

The fourth proportional to 200.17, 298.81 and 169.42 is: 252.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.17 : 298.81 = 169.42 : x
  2. Step 2: Convert to fraction form
    200.17/298.81 = 169.42/x
  3. Step 3: Cross multiply
    200.17x = 298.81 × 169.42
  4. Step 4: Simplify right side
    200.17x = 50,624.05
  5. Step 5: Solve for x
    x = 50,624.05/200.17
  6. Step 6: Final answer
    x = 252.90

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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.