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Finding the Fourth Proportional to 378.97, 523.04 and 213.23

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Solution

The fourth proportional to 378.97, 523.04 and 213.23 is: 294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.97 : 523.04 = 213.23 : x
  2. Step 2: Convert to fraction form
    378.97/523.04 = 213.23/x
  3. Step 3: Cross multiply
    378.97x = 523.04 × 213.23
  4. Step 4: Simplify right side
    378.97x = 111,530.16
  5. Step 5: Solve for x
    x = 111,530.16/378.97
  6. Step 6: Final answer
    x = 294.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.