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Finding the Fourth Proportional to 344.80, 519.78 and 321.89

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Solution

The fourth proportional to 344.80, 519.78 and 321.89 is: 485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.80 : 519.78 = 321.89 : x
  2. Step 2: Convert to fraction form
    344.80/519.78 = 321.89/x
  3. Step 3: Cross multiply
    344.80x = 519.78 × 321.89
  4. Step 4: Simplify right side
    344.80x = 167,309.39
  5. Step 5: Solve for x
    x = 167,309.39/344.80
  6. Step 6: Final answer
    x = 485.24

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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.