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Finding the Fourth Proportional to 386.33, 578.66 and 321.17

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Solution

The fourth proportional to 386.33, 578.66 and 321.17 is: 481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.33 : 578.66 = 321.17 : x
  2. Step 2: Convert to fraction form
    386.33/578.66 = 321.17/x
  3. Step 3: Cross multiply
    386.33x = 578.66 × 321.17
  4. Step 4: Simplify right side
    386.33x = 185,843.73
  5. Step 5: Solve for x
    x = 185,843.73/386.33
  6. Step 6: Final answer
    x = 481.06

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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.