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Finding the Fourth Proportional to 395.20, 541.32 and 394.12

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Solution

The fourth proportional to 395.20, 541.32 and 394.12 is: 539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.20 : 541.32 = 394.12 : x
  2. Step 2: Convert to fraction form
    395.20/541.32 = 394.12/x
  3. Step 3: Cross multiply
    395.20x = 541.32 × 394.12
  4. Step 4: Simplify right side
    395.20x = 213,345.04
  5. Step 5: Solve for x
    x = 213,345.04/395.20
  6. Step 6: Final answer
    x = 539.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.