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Finding the Fourth Proportional to 348.20, 519.89 and 283.24

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Solution

The fourth proportional to 348.20, 519.89 and 283.24 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.20 : 519.89 = 283.24 : x
  2. Step 2: Convert to fraction form
    348.20/519.89 = 283.24/x
  3. Step 3: Cross multiply
    348.20x = 519.89 × 283.24
  4. Step 4: Simplify right side
    348.20x = 147,253.64
  5. Step 5: Solve for x
    x = 147,253.64/348.20
  6. Step 6: Final answer
    x = 422.90

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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.