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Finding the Fourth Proportional to 398.52, 550.40 and 325.22

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Solution

The fourth proportional to 398.52, 550.40 and 325.22 is: 449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.52 : 550.40 = 325.22 : x
  2. Step 2: Convert to fraction form
    398.52/550.40 = 325.22/x
  3. Step 3: Cross multiply
    398.52x = 550.40 × 325.22
  4. Step 4: Simplify right side
    398.52x = 178,996.71
  5. Step 5: Solve for x
    x = 178,996.71/398.52
  6. Step 6: Final answer
    x = 449.15

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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.