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Finding the Fourth Proportional to 344.69, 519.62 and 321.78

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Solution

The fourth proportional to 344.69, 519.62 and 321.78 is: 485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.69 : 519.62 = 321.78 : x
  2. Step 2: Convert to fraction form
    344.69/519.62 = 321.78/x
  3. Step 3: Cross multiply
    344.69x = 519.62 × 321.78
  4. Step 4: Simplify right side
    344.69x = 167,200.17
  5. Step 5: Solve for x
    x = 167,200.17/344.69
  6. Step 6: Final answer
    x = 485.08

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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.