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Finding the Fourth Proportional to 195.50, 269.81 and 137.42

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Solution

The fourth proportional to 195.50, 269.81 and 137.42 is: 189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.50 : 269.81 = 137.42 : x
  2. Step 2: Convert to fraction form
    195.50/269.81 = 137.42/x
  3. Step 3: Cross multiply
    195.50x = 269.81 × 137.42
  4. Step 4: Simplify right side
    195.50x = 37,077.29
  5. Step 5: Solve for x
    x = 37,077.29/195.50
  6. Step 6: Final answer
    x = 189.65

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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.