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Finding the Fourth Proportional to 538.43, 806.49 and 229.88

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Solution

The fourth proportional to 538.43, 806.49 and 229.88 is: 344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.43 : 806.49 = 229.88 : x
  2. Step 2: Convert to fraction form
    538.43/806.49 = 229.88/x
  3. Step 3: Cross multiply
    538.43x = 806.49 × 229.88
  4. Step 4: Simplify right side
    538.43x = 185,397.94
  5. Step 5: Solve for x
    x = 185,397.94/538.43
  6. Step 6: Final answer
    x = 344.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.