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Finding the Fourth Proportional to 146.22, 201.42 and 121.80

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Solution

The fourth proportional to 146.22, 201.42 and 121.80 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.22 : 201.42 = 121.80 : x
  2. Step 2: Convert to fraction form
    146.22/201.42 = 121.80/x
  3. Step 3: Cross multiply
    146.22x = 201.42 × 121.80
  4. Step 4: Simplify right side
    146.22x = 24,532.96
  5. Step 5: Solve for x
    x = 24,532.96/146.22
  6. Step 6: Final answer
    x = 167.78

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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.