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Finding the Fourth Proportional to 348.97, 523.02 and 143.43

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Solution

The fourth proportional to 348.97, 523.02 and 143.43 is: 214.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.97 : 523.02 = 143.43 : x
  2. Step 2: Convert to fraction form
    348.97/523.02 = 143.43/x
  3. Step 3: Cross multiply
    348.97x = 523.02 × 143.43
  4. Step 4: Simplify right side
    348.97x = 75,014.14
  5. Step 5: Solve for x
    x = 75,014.14/348.97
  6. Step 6: Final answer
    x = 214.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.