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Finding the Fourth Proportional to 195.58, 293.52 and 85.97

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Solution

The fourth proportional to 195.58, 293.52 and 85.97 is: 129.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.58 : 293.52 = 85.97 : x
  2. Step 2: Convert to fraction form
    195.58/293.52 = 85.97/x
  3. Step 3: Cross multiply
    195.58x = 293.52 × 85.97
  4. Step 4: Simplify right side
    195.58x = 25,234.65
  5. Step 5: Solve for x
    x = 25,234.65/195.58
  6. Step 6: Final answer
    x = 129.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.