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Finding the Fourth Proportional to 348.14, 519.90 and 327.89

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Solution

The fourth proportional to 348.14, 519.90 and 327.89 is: 489.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.14 : 519.90 = 327.89 : x
  2. Step 2: Convert to fraction form
    348.14/519.90 = 327.89/x
  3. Step 3: Cross multiply
    348.14x = 519.90 × 327.89
  4. Step 4: Simplify right side
    348.14x = 170,470.08
  5. Step 5: Solve for x
    x = 170,470.08/348.14
  6. Step 6: Final answer
    x = 489.66

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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.