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Finding the Fourth Proportional to 348.90, 519.59 and 327.94

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Solution

The fourth proportional to 348.90, 519.59 and 327.94 is: 488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.90 : 519.59 = 327.94 : x
  2. Step 2: Convert to fraction form
    348.90/519.59 = 327.94/x
  3. Step 3: Cross multiply
    348.90x = 519.59 × 327.94
  4. Step 4: Simplify right side
    348.90x = 170,393.87
  5. Step 5: Solve for x
    x = 170,393.87/348.90
  6. Step 6: Final answer
    x = 488.38

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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.