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Finding the Fourth Proportional to 398.32, 545.63 and 394

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Solution

The fourth proportional to 398.32, 545.63 and 394 is: 539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 545.63 = 394 : x
  2. Step 2: Convert to fraction form
    398.32/545.63 = 394/x
  3. Step 3: Cross multiply
    398.32x = 545.63 × 394
  4. Step 4: Simplify right side
    398.32x = 214,978.22
  5. Step 5: Solve for x
    x = 214,978.22/398.32
  6. Step 6: Final answer
    x = 539.71

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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.