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Finding the Fourth Proportional to 498.71, 748.02 and 206.13

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Solution

The fourth proportional to 498.71, 748.02 and 206.13 is: 309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.71 : 748.02 = 206.13 : x
  2. Step 2: Convert to fraction form
    498.71/748.02 = 206.13/x
  3. Step 3: Cross multiply
    498.71x = 748.02 × 206.13
  4. Step 4: Simplify right side
    498.71x = 154,191.60
  5. Step 5: Solve for x
    x = 154,191.60/498.71
  6. Step 6: Final answer
    x = 309.18

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