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Finding the Fourth Proportional to 462.20, 693.21 and 137.48

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Solution

The fourth proportional to 462.20, 693.21 and 137.48 is: 206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.20 : 693.21 = 137.48 : x
  2. Step 2: Convert to fraction form
    462.20/693.21 = 137.48/x
  3. Step 3: Cross multiply
    462.20x = 693.21 × 137.48
  4. Step 4: Simplify right side
    462.20x = 95,304.24
  5. Step 5: Solve for x
    x = 95,304.24/462.20
  6. Step 6: Final answer
    x = 206.20

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