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Finding the Fourth Proportional to 348.77, 519.17 and 343.58

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Solution

The fourth proportional to 348.77, 519.17 and 343.58 is: 511.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.77 : 519.17 = 343.58 : x
  2. Step 2: Convert to fraction form
    348.77/519.17 = 343.58/x
  3. Step 3: Cross multiply
    348.77x = 519.17 × 343.58
  4. Step 4: Simplify right side
    348.77x = 178,375.35
  5. Step 5: Solve for x
    x = 178,375.35/348.77
  6. Step 6: Final answer
    x = 511.44

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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.