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Finding the Fourth Proportional to 325.78, 449.68 and 309.25

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Solution

The fourth proportional to 325.78, 449.68 and 309.25 is: 426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.78 : 449.68 = 309.25 : x
  2. Step 2: Convert to fraction form
    325.78/449.68 = 309.25/x
  3. Step 3: Cross multiply
    325.78x = 449.68 × 309.25
  4. Step 4: Simplify right side
    325.78x = 139,063.54
  5. Step 5: Solve for x
    x = 139,063.54/325.78
  6. Step 6: Final answer
    x = 426.86

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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.