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Finding the Fourth Proportional to 394.20, 539.96 and 393.12

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Solution

The fourth proportional to 394.20, 539.96 and 393.12 is: 538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.20 : 539.96 = 393.12 : x
  2. Step 2: Convert to fraction form
    394.20/539.96 = 393.12/x
  3. Step 3: Cross multiply
    394.20x = 539.96 × 393.12
  4. Step 4: Simplify right side
    394.20x = 212,267.11
  5. Step 5: Solve for x
    x = 212,267.11/394.20
  6. Step 6: Final answer
    x = 538.48

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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.