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Finding the Fourth Proportional to 348.04, 518.96 and 343.79

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Solution

The fourth proportional to 348.04, 518.96 and 343.79 is: 512.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.04 : 518.96 = 343.79 : x
  2. Step 2: Convert to fraction form
    348.04/518.96 = 343.79/x
  3. Step 3: Cross multiply
    348.04x = 518.96 × 343.79
  4. Step 4: Simplify right side
    348.04x = 178,413.26
  5. Step 5: Solve for x
    x = 178,413.26/348.04
  6. Step 6: Final answer
    x = 512.62

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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.