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Finding the Fourth Proportional to 348.11, 522.35 and 252.71

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Solution

The fourth proportional to 348.11, 522.35 and 252.71 is: 379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.11 : 522.35 = 252.71 : x
  2. Step 2: Convert to fraction form
    348.11/522.35 = 252.71/x
  3. Step 3: Cross multiply
    348.11x = 522.35 × 252.71
  4. Step 4: Simplify right side
    348.11x = 132,003.07
  5. Step 5: Solve for x
    x = 132,003.07/348.11
  6. Step 6: Final answer
    x = 379.20

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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.