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Finding the Fourth Proportional to 381.72, 572.76 and 165.44

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Solution

The fourth proportional to 381.72, 572.76 and 165.44 is: 248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.72 : 572.76 = 165.44 : x
  2. Step 2: Convert to fraction form
    381.72/572.76 = 165.44/x
  3. Step 3: Cross multiply
    381.72x = 572.76 × 165.44
  4. Step 4: Simplify right side
    381.72x = 94,757.41
  5. Step 5: Solve for x
    x = 94,757.41/381.72
  6. Step 6: Final answer
    x = 248.24

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