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Finding the Fourth Proportional to 398.68, 550.03 and 232.83

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Solution

The fourth proportional to 398.68, 550.03 and 232.83 is: 321.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.68 : 550.03 = 232.83 : x
  2. Step 2: Convert to fraction form
    398.68/550.03 = 232.83/x
  3. Step 3: Cross multiply
    398.68x = 550.03 × 232.83
  4. Step 4: Simplify right side
    398.68x = 128,063.48
  5. Step 5: Solve for x
    x = 128,063.48/398.68
  6. Step 6: Final answer
    x = 321.22

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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.