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Finding the Fourth Proportional to 195.80, 270.24 and 121.13

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Solution

The fourth proportional to 195.80, 270.24 and 121.13 is: 167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.80 : 270.24 = 121.13 : x
  2. Step 2: Convert to fraction form
    195.80/270.24 = 121.13/x
  3. Step 3: Cross multiply
    195.80x = 270.24 × 121.13
  4. Step 4: Simplify right side
    195.80x = 32,732.82
  5. Step 5: Solve for x
    x = 32,732.82/195.80
  6. Step 6: Final answer
    x = 167.18

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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.