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Finding the Fourth Proportional to 198.71, 299.59 and 168.49

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Solution

The fourth proportional to 198.71, 299.59 and 168.49 is: 254.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.71 : 299.59 = 168.49 : x
  2. Step 2: Convert to fraction form
    198.71/299.59 = 168.49/x
  3. Step 3: Cross multiply
    198.71x = 299.59 × 168.49
  4. Step 4: Simplify right side
    198.71x = 50,477.92
  5. Step 5: Solve for x
    x = 50,477.92/198.71
  6. Step 6: Final answer
    x = 254.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.