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Finding the Fourth Proportional to 397.26, 594.81 and 300.78

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Solution

The fourth proportional to 397.26, 594.81 and 300.78 is: 450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.26 : 594.81 = 300.78 : x
  2. Step 2: Convert to fraction form
    397.26/594.81 = 300.78/x
  3. Step 3: Cross multiply
    397.26x = 594.81 × 300.78
  4. Step 4: Simplify right side
    397.26x = 178,906.95
  5. Step 5: Solve for x
    x = 178,906.95/397.26
  6. Step 6: Final answer
    x = 450.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.