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Finding the Fourth Proportional to 194.97, 269.06 and 107.65

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Solution

The fourth proportional to 194.97, 269.06 and 107.65 is: 148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.97 : 269.06 = 107.65 : x
  2. Step 2: Convert to fraction form
    194.97/269.06 = 107.65/x
  3. Step 3: Cross multiply
    194.97x = 269.06 × 107.65
  4. Step 4: Simplify right side
    194.97x = 28,964.31
  5. Step 5: Solve for x
    x = 28,964.31/194.97
  6. Step 6: Final answer
    x = 148.56

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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.