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Finding the Fourth Proportional to 380.20, 569.78 and 197.22

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Solution

The fourth proportional to 380.20, 569.78 and 197.22 is: 295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.20 : 569.78 = 197.22 : x
  2. Step 2: Convert to fraction form
    380.20/569.78 = 197.22/x
  3. Step 3: Cross multiply
    380.20x = 569.78 × 197.22
  4. Step 4: Simplify right side
    380.20x = 112,372.01
  5. Step 5: Solve for x
    x = 112,372.01/380.20
  6. Step 6: Final answer
    x = 295.56

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