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Finding the Fourth Proportional to 291.24, 436.46 and 209.84

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Solution

The fourth proportional to 291.24, 436.46 and 209.84 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 436.46 = 209.84 : x
  2. Step 2: Convert to fraction form
    291.24/436.46 = 209.84/x
  3. Step 3: Cross multiply
    291.24x = 436.46 × 209.84
  4. Step 4: Simplify right side
    291.24x = 91,583.53
  5. Step 5: Solve for x
    x = 91,583.53/291.24
  6. Step 6: Final answer
    x = 314.46

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