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Finding the Fourth Proportional to 198.78, 298.11 and 134.16

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Solution

The fourth proportional to 198.78, 298.11 and 134.16 is: 201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.78 : 298.11 = 134.16 : x
  2. Step 2: Convert to fraction form
    198.78/298.11 = 134.16/x
  3. Step 3: Cross multiply
    198.78x = 298.11 × 134.16
  4. Step 4: Simplify right side
    198.78x = 39,994.44
  5. Step 5: Solve for x
    x = 39,994.44/198.78
  6. Step 6: Final answer
    x = 201.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.