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Finding the Fourth Proportional to 195.69, 270.09 and 112.85

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Solution

The fourth proportional to 195.69, 270.09 and 112.85 is: 155.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.69 : 270.09 = 112.85 : x
  2. Step 2: Convert to fraction form
    195.69/270.09 = 112.85/x
  3. Step 3: Cross multiply
    195.69x = 270.09 × 112.85
  4. Step 4: Simplify right side
    195.69x = 30,479.66
  5. Step 5: Solve for x
    x = 30,479.66/195.69
  6. Step 6: Final answer
    x = 155.75

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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.