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Finding the Fourth Proportional to 344.76, 519.73 and 321.27

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Solution

The fourth proportional to 344.76, 519.73 and 321.27 is: 484.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.76 : 519.73 = 321.27 : x
  2. Step 2: Convert to fraction form
    344.76/519.73 = 321.27/x
  3. Step 3: Cross multiply
    344.76x = 519.73 × 321.27
  4. Step 4: Simplify right side
    344.76x = 166,973.66
  5. Step 5: Solve for x
    x = 166,973.66/344.76
  6. Step 6: Final answer
    x = 484.32

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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.