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Finding the Fourth Proportional to 195.92, 270.76 and 138

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Solution

The fourth proportional to 195.92, 270.76 and 138 is: 190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.92 : 270.76 = 138 : x
  2. Step 2: Convert to fraction form
    195.92/270.76 = 138/x
  3. Step 3: Cross multiply
    195.92x = 270.76 × 138
  4. Step 4: Simplify right side
    195.92x = 37,364.88
  5. Step 5: Solve for x
    x = 37,364.88/195.92
  6. Step 6: Final answer
    x = 190.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.