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Finding the Fourth Proportional to 307.80, 460.26 and 262.71

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Solution

The fourth proportional to 307.80, 460.26 and 262.71 is: 392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.80 : 460.26 = 262.71 : x
  2. Step 2: Convert to fraction form
    307.80/460.26 = 262.71/x
  3. Step 3: Cross multiply
    307.80x = 460.26 × 262.71
  4. Step 4: Simplify right side
    307.80x = 120,914.90
  5. Step 5: Solve for x
    x = 120,914.90/307.80
  6. Step 6: Final answer
    x = 392.84

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