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Finding the Fourth Proportional to 463.13, 694.74 and 150.80

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Solution

The fourth proportional to 463.13, 694.74 and 150.80 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.13 : 694.74 = 150.80 : x
  2. Step 2: Convert to fraction form
    463.13/694.74 = 150.80/x
  3. Step 3: Cross multiply
    463.13x = 694.74 × 150.80
  4. Step 4: Simplify right side
    463.13x = 104,763.88
  5. Step 5: Solve for x
    x = 104,763.88/463.13
  6. Step 6: Final answer
    x = 226.21

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