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Finding the Fourth Proportional to 138.85, 190.81 and 132.51

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Solution

The fourth proportional to 138.85, 190.81 and 132.51 is: 182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.85 : 190.81 = 132.51 : x
  2. Step 2: Convert to fraction form
    138.85/190.81 = 132.51/x
  3. Step 3: Cross multiply
    138.85x = 190.81 × 132.51
  4. Step 4: Simplify right side
    138.85x = 25,282.62
  5. Step 5: Solve for x
    x = 25,282.62/138.85
  6. Step 6: Final answer
    x = 182.09

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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.