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Finding the Fourth Proportional to 538.41, 808.01 and 209.40

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Solution

The fourth proportional to 538.41, 808.01 and 209.40 is: 314.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.41 : 808.01 = 209.40 : x
  2. Step 2: Convert to fraction form
    538.41/808.01 = 209.40/x
  3. Step 3: Cross multiply
    538.41x = 808.01 × 209.40
  4. Step 4: Simplify right side
    538.41x = 169,197.29
  5. Step 5: Solve for x
    x = 169,197.29/538.41
  6. Step 6: Final answer
    x = 314.25

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