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Finding the Fourth Proportional to 321.87, 443.97 and 297.57

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Solution

The fourth proportional to 321.87, 443.97 and 297.57 is: 410.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.87 : 443.97 = 297.57 : x
  2. Step 2: Convert to fraction form
    321.87/443.97 = 297.57/x
  3. Step 3: Cross multiply
    321.87x = 443.97 × 297.57
  4. Step 4: Simplify right side
    321.87x = 132,112.15
  5. Step 5: Solve for x
    x = 132,112.15/321.87
  6. Step 6: Final answer
    x = 410.45

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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.