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Finding the Fourth Proportional to 397.87, 594.54 and 298.39

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Solution

The fourth proportional to 397.87, 594.54 and 298.39 is: 445.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.87 : 594.54 = 298.39 : x
  2. Step 2: Convert to fraction form
    397.87/594.54 = 298.39/x
  3. Step 3: Cross multiply
    397.87x = 594.54 × 298.39
  4. Step 4: Simplify right side
    397.87x = 177,400.33
  5. Step 5: Solve for x
    x = 177,400.33/397.87
  6. Step 6: Final answer
    x = 445.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.