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Finding the Fourth Proportional to 348.35, 522.20 and 142.72

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Solution

The fourth proportional to 348.35, 522.20 and 142.72 is: 213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.35 : 522.20 = 142.72 : x
  2. Step 2: Convert to fraction form
    348.35/522.20 = 142.72/x
  3. Step 3: Cross multiply
    348.35x = 522.20 × 142.72
  4. Step 4: Simplify right side
    348.35x = 74,527.44
  5. Step 5: Solve for x
    x = 74,527.44/348.35
  6. Step 6: Final answer
    x = 213.95

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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.