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Finding the Fourth Proportional to 344.52, 519.42 and 321

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Solution

The fourth proportional to 344.52, 519.42 and 321 is: 483.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.52 : 519.42 = 321 : x
  2. Step 2: Convert to fraction form
    344.52/519.42 = 321/x
  3. Step 3: Cross multiply
    344.52x = 519.42 × 321
  4. Step 4: Simplify right side
    344.52x = 166,733.82
  5. Step 5: Solve for x
    x = 166,733.82/344.52
  6. Step 6: Final answer
    x = 483.96

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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.