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Finding the Fourth Proportional to 538.56, 808.02 and 214.14

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Solution

The fourth proportional to 538.56, 808.02 and 214.14 is: 321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.56 : 808.02 = 214.14 : x
  2. Step 2: Convert to fraction form
    538.56/808.02 = 214.14/x
  3. Step 3: Cross multiply
    538.56x = 808.02 × 214.14
  4. Step 4: Simplify right side
    538.56x = 173,029.40
  5. Step 5: Solve for x
    x = 173,029.40/538.56
  6. Step 6: Final answer
    x = 321.28

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