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Finding the Fourth Proportional to 252.12, 347.88 and 165

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Solution

The fourth proportional to 252.12, 347.88 and 165 is: 227.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.12 : 347.88 = 165 : x
  2. Step 2: Convert to fraction form
    252.12/347.88 = 165/x
  3. Step 3: Cross multiply
    252.12x = 347.88 × 165
  4. Step 4: Simplify right side
    252.12x = 57,400.20
  5. Step 5: Solve for x
    x = 57,400.20/252.12
  6. Step 6: Final answer
    x = 227.67

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