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Finding the Fourth Proportional to 419.54, 578.81 and 262.06

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Solution

The fourth proportional to 419.54, 578.81 and 262.06 is: 361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.54 : 578.81 = 262.06 : x
  2. Step 2: Convert to fraction form
    419.54/578.81 = 262.06/x
  3. Step 3: Cross multiply
    419.54x = 578.81 × 262.06
  4. Step 4: Simplify right side
    419.54x = 151,684.34
  5. Step 5: Solve for x
    x = 151,684.34/419.54
  6. Step 6: Final answer
    x = 361.55

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