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Finding the Fourth Proportional to 419.68, 578 and 361.44

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Solution

The fourth proportional to 419.68, 578 and 361.44 is: 497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.68 : 578 = 361.44 : x
  2. Step 2: Convert to fraction form
    419.68/578 = 361.44/x
  3. Step 3: Cross multiply
    419.68x = 578 × 361.44
  4. Step 4: Simplify right side
    419.68x = 208,912.32
  5. Step 5: Solve for x
    x = 208,912.32/419.68
  6. Step 6: Final answer
    x = 497.79

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