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Finding the Fourth Proportional to 378.81, 522.82 and 213.07

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Solution

The fourth proportional to 378.81, 522.82 and 213.07 is: 294.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.81 : 522.82 = 213.07 : x
  2. Step 2: Convert to fraction form
    378.81/522.82 = 213.07/x
  3. Step 3: Cross multiply
    378.81x = 522.82 × 213.07
  4. Step 4: Simplify right side
    378.81x = 111,397.26
  5. Step 5: Solve for x
    x = 111,397.26/378.81
  6. Step 6: Final answer
    x = 294.07

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