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Finding the Fourth Proportional to 138.40, 189.97 and 132.46

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Solution

The fourth proportional to 138.40, 189.97 and 132.46 is: 181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.40 : 189.97 = 132.46 : x
  2. Step 2: Convert to fraction form
    138.40/189.97 = 132.46/x
  3. Step 3: Cross multiply
    138.40x = 189.97 × 132.46
  4. Step 4: Simplify right side
    138.40x = 25,163.43
  5. Step 5: Solve for x
    x = 25,163.43/138.40
  6. Step 6: Final answer
    x = 181.82

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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.