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Finding the Fourth Proportional to 409.68, 614.07 and 192.96

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Solution

The fourth proportional to 409.68, 614.07 and 192.96 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.68 : 614.07 = 192.96 : x
  2. Step 2: Convert to fraction form
    409.68/614.07 = 192.96/x
  3. Step 3: Cross multiply
    409.68x = 614.07 × 192.96
  4. Step 4: Simplify right side
    409.68x = 118,490.95
  5. Step 5: Solve for x
    x = 118,490.95/409.68
  6. Step 6: Final answer
    x = 289.23

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