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Finding the Fourth Proportional to 195.98, 270.42 and 121.20

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Solution

The fourth proportional to 195.98, 270.42 and 121.20 is: 167.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.98 : 270.42 = 121.20 : x
  2. Step 2: Convert to fraction form
    195.98/270.42 = 121.20/x
  3. Step 3: Cross multiply
    195.98x = 270.42 × 121.20
  4. Step 4: Simplify right side
    195.98x = 32,774.90
  5. Step 5: Solve for x
    x = 32,774.90/195.98
  6. Step 6: Final answer
    x = 167.24

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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.