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Finding the Fourth Proportional to 195.67, 268.31 and 173.80

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Solution

The fourth proportional to 195.67, 268.31 and 173.80 is: 238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.67 : 268.31 = 173.80 : x
  2. Step 2: Convert to fraction form
    195.67/268.31 = 173.80/x
  3. Step 3: Cross multiply
    195.67x = 268.31 × 173.80
  4. Step 4: Simplify right side
    195.67x = 46,632.28
  5. Step 5: Solve for x
    x = 46,632.28/195.67
  6. Step 6: Final answer
    x = 238.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.