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Finding the Fourth Proportional to 343.20, 517.20 and 321.60

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Solution

The fourth proportional to 343.20, 517.20 and 321.60 is: 484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.20 : 517.20 = 321.60 : x
  2. Step 2: Convert to fraction form
    343.20/517.20 = 321.60/x
  3. Step 3: Cross multiply
    343.20x = 517.20 × 321.60
  4. Step 4: Simplify right side
    343.20x = 166,331.52
  5. Step 5: Solve for x
    x = 166,331.52/343.20
  6. Step 6: Final answer
    x = 484.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.