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Finding the Fourth Proportional to 200.98, 299.79 and 168.69

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Solution

The fourth proportional to 200.98, 299.79 and 168.69 is: 251.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.98 : 299.79 = 168.69 : x
  2. Step 2: Convert to fraction form
    200.98/299.79 = 168.69/x
  3. Step 3: Cross multiply
    200.98x = 299.79 × 168.69
  4. Step 4: Simplify right side
    200.98x = 50,570.45
  5. Step 5: Solve for x
    x = 50,570.45/200.98
  6. Step 6: Final answer
    x = 251.62

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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.