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Finding the Fourth Proportional to 398.73, 550.32 and 298.30

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Solution

The fourth proportional to 398.73, 550.32 and 298.30 is: 411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.73 : 550.32 = 298.30 : x
  2. Step 2: Convert to fraction form
    398.73/550.32 = 298.30/x
  3. Step 3: Cross multiply
    398.73x = 550.32 × 298.30
  4. Step 4: Simplify right side
    398.73x = 164,159.96
  5. Step 5: Solve for x
    x = 164,159.96/398.73
  6. Step 6: Final answer
    x = 411.70

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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.