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Finding the Fourth Proportional to 531.56, 797.13 and 206.88

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Solution

The fourth proportional to 531.56, 797.13 and 206.88 is: 310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.56 : 797.13 = 206.88 : x
  2. Step 2: Convert to fraction form
    531.56/797.13 = 206.88/x
  3. Step 3: Cross multiply
    531.56x = 797.13 × 206.88
  4. Step 4: Simplify right side
    531.56x = 164,910.25
  5. Step 5: Solve for x
    x = 164,910.25/531.56
  6. Step 6: Final answer
    x = 310.24

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