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Finding the Fourth Proportional to 195.31, 268.59 and 161.82

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Solution

The fourth proportional to 195.31, 268.59 and 161.82 is: 222.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.31 : 268.59 = 161.82 : x
  2. Step 2: Convert to fraction form
    195.31/268.59 = 161.82/x
  3. Step 3: Cross multiply
    195.31x = 268.59 × 161.82
  4. Step 4: Simplify right side
    195.31x = 43,464.14
  5. Step 5: Solve for x
    x = 43,464.14/195.31
  6. Step 6: Final answer
    x = 222.54

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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.