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Finding the Fourth Proportional to 133.34, 199.07 and 119.66

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Solution

The fourth proportional to 133.34, 199.07 and 119.66 is: 178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.34 : 199.07 = 119.66 : x
  2. Step 2: Convert to fraction form
    133.34/199.07 = 119.66/x
  3. Step 3: Cross multiply
    133.34x = 199.07 × 119.66
  4. Step 4: Simplify right side
    133.34x = 23,819.12
  5. Step 5: Solve for x
    x = 23,819.12/133.34
  6. Step 6: Final answer
    x = 178.64

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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.