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Finding the Fourth Proportional to 394.92, 537.48 and 388.44

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Solution

The fourth proportional to 394.92, 537.48 and 388.44 is: 528.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.92 : 537.48 = 388.44 : x
  2. Step 2: Convert to fraction form
    394.92/537.48 = 388.44/x
  3. Step 3: Cross multiply
    394.92x = 537.48 × 388.44
  4. Step 4: Simplify right side
    394.92x = 208,778.73
  5. Step 5: Solve for x
    x = 208,778.73/394.92
  6. Step 6: Final answer
    x = 528.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.