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Finding the Fourth Proportional to 195.94, 270.43 and 118.31

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Solution

The fourth proportional to 195.94, 270.43 and 118.31 is: 163.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.94 : 270.43 = 118.31 : x
  2. Step 2: Convert to fraction form
    195.94/270.43 = 118.31/x
  3. Step 3: Cross multiply
    195.94x = 270.43 × 118.31
  4. Step 4: Simplify right side
    195.94x = 31,994.57
  5. Step 5: Solve for x
    x = 31,994.57/195.94
  6. Step 6: Final answer
    x = 163.29

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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.