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Finding the Fourth Proportional to 323.17, 484.04 and 220.63

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Solution

The fourth proportional to 323.17, 484.04 and 220.63 is: 330.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.17 : 484.04 = 220.63 : x
  2. Step 2: Convert to fraction form
    323.17/484.04 = 220.63/x
  3. Step 3: Cross multiply
    323.17x = 484.04 × 220.63
  4. Step 4: Simplify right side
    323.17x = 106,793.75
  5. Step 5: Solve for x
    x = 106,793.75/323.17
  6. Step 6: Final answer
    x = 330.46

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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.