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Finding the Fourth Proportional to 457.82, 686.31 and 165.25

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Solution

The fourth proportional to 457.82, 686.31 and 165.25 is: 247.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.82 : 686.31 = 165.25 : x
  2. Step 2: Convert to fraction form
    457.82/686.31 = 165.25/x
  3. Step 3: Cross multiply
    457.82x = 686.31 × 165.25
  4. Step 4: Simplify right side
    457.82x = 113,415.83
  5. Step 5: Solve for x
    x = 113,415.83/457.82
  6. Step 6: Final answer
    x = 247.73

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