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Finding the Fourth Proportional to 344.60, 513.51 and 329.41

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Solution

The fourth proportional to 344.60, 513.51 and 329.41 is: 490.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.60 : 513.51 = 329.41 : x
  2. Step 2: Convert to fraction form
    344.60/513.51 = 329.41/x
  3. Step 3: Cross multiply
    344.60x = 513.51 × 329.41
  4. Step 4: Simplify right side
    344.60x = 169,155.33
  5. Step 5: Solve for x
    x = 169,155.33/344.60
  6. Step 6: Final answer
    x = 490.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.