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Finding the Fourth Proportional to 401.85, 603.18 and 219.33

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Solution

The fourth proportional to 401.85, 603.18 and 219.33 is: 329.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.85 : 603.18 = 219.33 : x
  2. Step 2: Convert to fraction form
    401.85/603.18 = 219.33/x
  3. Step 3: Cross multiply
    401.85x = 603.18 × 219.33
  4. Step 4: Simplify right side
    401.85x = 132,295.47
  5. Step 5: Solve for x
    x = 132,295.47/401.85
  6. Step 6: Final answer
    x = 329.22

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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.