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Finding the Fourth Proportional to 280.02, 419.97 and 158.22

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Solution

The fourth proportional to 280.02, 419.97 and 158.22 is: 237.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.02 : 419.97 = 158.22 : x
  2. Step 2: Convert to fraction form
    280.02/419.97 = 158.22/x
  3. Step 3: Cross multiply
    280.02x = 419.97 × 158.22
  4. Step 4: Simplify right side
    280.02x = 66,447.65
  5. Step 5: Solve for x
    x = 66,447.65/280.02
  6. Step 6: Final answer
    x = 237.30

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