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Finding the Fourth Proportional to 195.77, 270.14 and 121.11

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Solution

The fourth proportional to 195.77, 270.14 and 121.11 is: 167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.77 : 270.14 = 121.11 : x
  2. Step 2: Convert to fraction form
    195.77/270.14 = 121.11/x
  3. Step 3: Cross multiply
    195.77x = 270.14 × 121.11
  4. Step 4: Simplify right side
    195.77x = 32,716.66
  5. Step 5: Solve for x
    x = 32,716.66/195.77
  6. Step 6: Final answer
    x = 167.12

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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.