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Finding the Fourth Proportional to 138.27, 189.84 and 134.70

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Solution

The fourth proportional to 138.27, 189.84 and 134.70 is: 184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.27 : 189.84 = 134.70 : x
  2. Step 2: Convert to fraction form
    138.27/189.84 = 134.70/x
  3. Step 3: Cross multiply
    138.27x = 189.84 × 134.70
  4. Step 4: Simplify right side
    138.27x = 25,571.45
  5. Step 5: Solve for x
    x = 25,571.45/138.27
  6. Step 6: Final answer
    x = 184.94

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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.