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Finding the Fourth Proportional to 195.52, 269.92 and 137.68

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Solution

The fourth proportional to 195.52, 269.92 and 137.68 is: 190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.52 : 269.92 = 137.68 : x
  2. Step 2: Convert to fraction form
    195.52/269.92 = 137.68/x
  3. Step 3: Cross multiply
    195.52x = 269.92 × 137.68
  4. Step 4: Simplify right side
    195.52x = 37,162.59
  5. Step 5: Solve for x
    x = 37,162.59/195.52
  6. Step 6: Final answer
    x = 190.07

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