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Finding the Fourth Proportional to 386.04, 578.39 and 321.46

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Solution

The fourth proportional to 386.04, 578.39 and 321.46 is: 481.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.04 : 578.39 = 321.46 : x
  2. Step 2: Convert to fraction form
    386.04/578.39 = 321.46/x
  3. Step 3: Cross multiply
    386.04x = 578.39 × 321.46
  4. Step 4: Simplify right side
    386.04x = 185,926.20
  5. Step 5: Solve for x
    x = 185,926.20/386.04
  6. Step 6: Final answer
    x = 481.62

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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.