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Finding the Fourth Proportional to 200.78, 300.68 and 109.25

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Solution

The fourth proportional to 200.78, 300.68 and 109.25 is: 163.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.78 : 300.68 = 109.25 : x
  2. Step 2: Convert to fraction form
    200.78/300.68 = 109.25/x
  3. Step 3: Cross multiply
    200.78x = 300.68 × 109.25
  4. Step 4: Simplify right side
    200.78x = 32,848.06
  5. Step 5: Solve for x
    x = 32,848.06/200.78
  6. Step 6: Final answer
    x = 163.61

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