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Finding the Fourth Proportional to 394.05, 543.51 and 269.49

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Solution

The fourth proportional to 394.05, 543.51 and 269.49 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.05 : 543.51 = 269.49 : x
  2. Step 2: Convert to fraction form
    394.05/543.51 = 269.49/x
  3. Step 3: Cross multiply
    394.05x = 543.51 × 269.49
  4. Step 4: Simplify right side
    394.05x = 146,470.51
  5. Step 5: Solve for x
    x = 146,470.51/394.05
  6. Step 6: Final answer
    x = 371.71

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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.