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Finding the Fourth Proportional to 344.20, 518.68 and 327.72

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Solution

The fourth proportional to 344.20, 518.68 and 327.72 is: 493.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.20 : 518.68 = 327.72 : x
  2. Step 2: Convert to fraction form
    344.20/518.68 = 327.72/x
  3. Step 3: Cross multiply
    344.20x = 518.68 × 327.72
  4. Step 4: Simplify right side
    344.20x = 169,981.81
  5. Step 5: Solve for x
    x = 169,981.81/344.20
  6. Step 6: Final answer
    x = 493.85

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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.