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Finding the Fourth Proportional to 348.49, 519.89 and 321.15

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Solution

The fourth proportional to 348.49, 519.89 and 321.15 is: 479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.49 : 519.89 = 321.15 : x
  2. Step 2: Convert to fraction form
    348.49/519.89 = 321.15/x
  3. Step 3: Cross multiply
    348.49x = 519.89 × 321.15
  4. Step 4: Simplify right side
    348.49x = 166,962.67
  5. Step 5: Solve for x
    x = 166,962.67/348.49
  6. Step 6: Final answer
    x = 479.10

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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.