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Finding the Fourth Proportional to 195.80, 270.16 and 122.14

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Solution

The fourth proportional to 195.80, 270.16 and 122.14 is: 168.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 270.16 = 122.14 : x
  2. Step 2: Convert to fraction form
    195.80/270.16 = 122.14/x
  3. Step 3: Cross multiply
    195.80x = 270.16 × 122.14
  4. Step 4: Simplify right side
    195.80x = 32,997.34
  5. Step 5: Solve for x
    x = 32,997.34/195.80
  6. Step 6: Final answer
    x = 168.53

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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.