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Finding the Fourth Proportional to 263.16, 394.20 and 198

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Solution

The fourth proportional to 263.16, 394.20 and 198 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.16 : 394.20 = 198 : x
  2. Step 2: Convert to fraction form
    263.16/394.20 = 198/x
  3. Step 3: Cross multiply
    263.16x = 394.20 × 198
  4. Step 4: Simplify right side
    263.16x = 78,051.60
  5. Step 5: Solve for x
    x = 78,051.60/263.16
  6. Step 6: Final answer
    x = 296.59

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