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Finding the Fourth Proportional to 133.34, 199.11 and 119.54

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Solution

The fourth proportional to 133.34, 199.11 and 119.54 is: 178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.34 : 199.11 = 119.54 : x
  2. Step 2: Convert to fraction form
    133.34/199.11 = 119.54/x
  3. Step 3: Cross multiply
    133.34x = 199.11 × 119.54
  4. Step 4: Simplify right side
    133.34x = 23,801.61
  5. Step 5: Solve for x
    x = 23,801.61/133.34
  6. Step 6: Final answer
    x = 178.50

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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.