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Finding the Fourth Proportional to 198.30, 298.50 and 168.58

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Solution

The fourth proportional to 198.30, 298.50 and 168.58 is: 253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.30 : 298.50 = 168.58 : x
  2. Step 2: Convert to fraction form
    198.30/298.50 = 168.58/x
  3. Step 3: Cross multiply
    198.30x = 298.50 × 168.58
  4. Step 4: Simplify right side
    198.30x = 50,320.87
  5. Step 5: Solve for x
    x = 50,320.87/198.30
  6. Step 6: Final answer
    x = 253.76

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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.