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Finding the Fourth Proportional to 393.82, 543.20 and 341.27

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Solution

The fourth proportional to 393.82, 543.20 and 341.27 is: 470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.82 : 543.20 = 341.27 : x
  2. Step 2: Convert to fraction form
    393.82/543.20 = 341.27/x
  3. Step 3: Cross multiply
    393.82x = 543.20 × 341.27
  4. Step 4: Simplify right side
    393.82x = 185,377.01
  5. Step 5: Solve for x
    x = 185,377.01/393.82
  6. Step 6: Final answer
    x = 470.71

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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.