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Finding the Fourth Proportional to 195.62, 270.26 and 181.96

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Solution

The fourth proportional to 195.62, 270.26 and 181.96 is: 251.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 270.26 = 181.96 : x
  2. Step 2: Convert to fraction form
    195.62/270.26 = 181.96/x
  3. Step 3: Cross multiply
    195.62x = 270.26 × 181.96
  4. Step 4: Simplify right side
    195.62x = 49,176.29
  5. Step 5: Solve for x
    x = 49,176.29/195.62
  6. Step 6: Final answer
    x = 251.38

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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.