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Finding the Fourth Proportional to 138.89, 190.66 and 119.45

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Solution

The fourth proportional to 138.89, 190.66 and 119.45 is: 163.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.89 : 190.66 = 119.45 : x
  2. Step 2: Convert to fraction form
    138.89/190.66 = 119.45/x
  3. Step 3: Cross multiply
    138.89x = 190.66 × 119.45
  4. Step 4: Simplify right side
    138.89x = 22,774.34
  5. Step 5: Solve for x
    x = 22,774.34/138.89
  6. Step 6: Final answer
    x = 163.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.