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Finding the Fourth Proportional to 323.32, 484.17 and 214.78

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Solution

The fourth proportional to 323.32, 484.17 and 214.78 is: 321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.32 : 484.17 = 214.78 : x
  2. Step 2: Convert to fraction form
    323.32/484.17 = 214.78/x
  3. Step 3: Cross multiply
    323.32x = 484.17 × 214.78
  4. Step 4: Simplify right side
    323.32x = 103,990.03
  5. Step 5: Solve for x
    x = 103,990.03/323.32
  6. Step 6: Final answer
    x = 321.63

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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.