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Finding the Fourth Proportional to 394.35, 543.54 and 299.79

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Solution

The fourth proportional to 394.35, 543.54 and 299.79 is: 413.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.35 : 543.54 = 299.79 : x
  2. Step 2: Convert to fraction form
    394.35/543.54 = 299.79/x
  3. Step 3: Cross multiply
    394.35x = 543.54 × 299.79
  4. Step 4: Simplify right side
    394.35x = 162,947.86
  5. Step 5: Solve for x
    x = 162,947.86/394.35
  6. Step 6: Final answer
    x = 413.21

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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.