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Finding the Fourth Proportional to 409.26, 613.92 and 165.84

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Solution

The fourth proportional to 409.26, 613.92 and 165.84 is: 248.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.26 : 613.92 = 165.84 : x
  2. Step 2: Convert to fraction form
    409.26/613.92 = 165.84/x
  3. Step 3: Cross multiply
    409.26x = 613.92 × 165.84
  4. Step 4: Simplify right side
    409.26x = 101,812.49
  5. Step 5: Solve for x
    x = 101,812.49/409.26
  6. Step 6: Final answer
    x = 248.77

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