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Finding the Fourth Proportional to 348.59, 519.56 and 329.13

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Solution

The fourth proportional to 348.59, 519.56 and 329.13 is: 490.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.59 : 519.56 = 329.13 : x
  2. Step 2: Convert to fraction form
    348.59/519.56 = 329.13/x
  3. Step 3: Cross multiply
    348.59x = 519.56 × 329.13
  4. Step 4: Simplify right side
    348.59x = 171,002.78
  5. Step 5: Solve for x
    x = 171,002.78/348.59
  6. Step 6: Final answer
    x = 490.56

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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.