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Finding the Fourth Proportional to 348.29, 519.72 and 320.85

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Solution

The fourth proportional to 348.29, 519.72 and 320.85 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.29 : 519.72 = 320.85 : x
  2. Step 2: Convert to fraction form
    348.29/519.72 = 320.85/x
  3. Step 3: Cross multiply
    348.29x = 519.72 × 320.85
  4. Step 4: Simplify right side
    348.29x = 166,752.16
  5. Step 5: Solve for x
    x = 166,752.16/348.29
  6. Step 6: Final answer
    x = 478.78

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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.