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Finding the Fourth Proportional to 198.82, 299.59 and 163.54

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Solution

The fourth proportional to 198.82, 299.59 and 163.54 is: 246.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.82 : 299.59 = 163.54 : x
  2. Step 2: Convert to fraction form
    198.82/299.59 = 163.54/x
  3. Step 3: Cross multiply
    198.82x = 299.59 × 163.54
  4. Step 4: Simplify right side
    198.82x = 48,994.95
  5. Step 5: Solve for x
    x = 48,994.95/198.82
  6. Step 6: Final answer
    x = 246.43

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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.