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Finding the Fourth Proportional to 195.86, 270.18 and 122.15

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Solution

The fourth proportional to 195.86, 270.18 and 122.15 is: 168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.86 : 270.18 = 122.15 : x
  2. Step 2: Convert to fraction form
    195.86/270.18 = 122.15/x
  3. Step 3: Cross multiply
    195.86x = 270.18 × 122.15
  4. Step 4: Simplify right side
    195.86x = 33,001.14
  5. Step 5: Solve for x
    x = 33,001.14/195.86
  6. Step 6: Final answer
    x = 168.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.