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Finding the Fourth Proportional to 206.24, 308.80 and 169.92

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Solution

The fourth proportional to 206.24, 308.80 and 169.92 is: 254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.24 : 308.80 = 169.92 : x
  2. Step 2: Convert to fraction form
    206.24/308.80 = 169.92/x
  3. Step 3: Cross multiply
    206.24x = 308.80 × 169.92
  4. Step 4: Simplify right side
    206.24x = 52,471.30
  5. Step 5: Solve for x
    x = 52,471.30/206.24
  6. Step 6: Final answer
    x = 254.42

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