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Finding the Fourth Proportional to 166.91, 230.09 and 142.31

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Solution

The fourth proportional to 166.91, 230.09 and 142.31 is: 196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.91 : 230.09 = 142.31 : x
  2. Step 2: Convert to fraction form
    166.91/230.09 = 142.31/x
  3. Step 3: Cross multiply
    166.91x = 230.09 × 142.31
  4. Step 4: Simplify right side
    166.91x = 32,743.48
  5. Step 5: Solve for x
    x = 32,743.48/166.91
  6. Step 6: Final answer
    x = 196.17

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