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Finding the Fourth Proportional to 394.36, 543.92 and 328.76

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Solution

The fourth proportional to 394.36, 543.92 and 328.76 is: 453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.36 : 543.92 = 328.76 : x
  2. Step 2: Convert to fraction form
    394.36/543.92 = 328.76/x
  3. Step 3: Cross multiply
    394.36x = 543.92 × 328.76
  4. Step 4: Simplify right side
    394.36x = 178,819.14
  5. Step 5: Solve for x
    x = 178,819.14/394.36
  6. Step 6: Final answer
    x = 453.44

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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.