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Finding the Fourth Proportional to 133.05, 198.43 and 120.09

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Solution

The fourth proportional to 133.05, 198.43 and 120.09 is: 179.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.05 : 198.43 = 120.09 : x
  2. Step 2: Convert to fraction form
    133.05/198.43 = 120.09/x
  3. Step 3: Cross multiply
    133.05x = 198.43 × 120.09
  4. Step 4: Simplify right side
    133.05x = 23,829.16
  5. Step 5: Solve for x
    x = 23,829.16/133.05
  6. Step 6: Final answer
    x = 179.10

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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.