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Finding the Fourth Proportional to 398.46, 553.68 and 394.20

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Solution

The fourth proportional to 398.46, 553.68 and 394.20 is: 547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.46 : 553.68 = 394.20 : x
  2. Step 2: Convert to fraction form
    398.46/553.68 = 394.20/x
  3. Step 3: Cross multiply
    398.46x = 553.68 × 394.20
  4. Step 4: Simplify right side
    398.46x = 218,260.66
  5. Step 5: Solve for x
    x = 218,260.66/398.46
  6. Step 6: Final answer
    x = 547.76

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.