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Finding the Fourth Proportional to 378.97, 523.01 and 213.21

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Solution

The fourth proportional to 378.97, 523.01 and 213.21 is: 294.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.97 : 523.01 = 213.21 : x
  2. Step 2: Convert to fraction form
    378.97/523.01 = 213.21/x
  3. Step 3: Cross multiply
    378.97x = 523.01 × 213.21
  4. Step 4: Simplify right side
    378.97x = 111,511.50
  5. Step 5: Solve for x
    x = 111,511.50/378.97
  6. Step 6: Final answer
    x = 294.25

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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.