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Finding the Fourth Proportional to 150, 225 and 36

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Solution

The fourth proportional to 150, 225 and 36 is: 54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150 : 225 = 36 : x
  2. Step 2: Convert to fraction form
    150/225 = 36/x
  3. Step 3: Cross multiply
    150x = 225 × 36
  4. Step 4: Simplify right side
    150x = 8,100
  5. Step 5: Solve for x
    x = 8,100/150
  6. Step 6: Final answer
    x = 54

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