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Finding the Fourth Proportional to 348.11, 522.17 and 131.57

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Solution

The fourth proportional to 348.11, 522.17 and 131.57 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.11 : 522.17 = 131.57 : x
  2. Step 2: Convert to fraction form
    348.11/522.17 = 131.57/x
  3. Step 3: Cross multiply
    348.11x = 522.17 × 131.57
  4. Step 4: Simplify right side
    348.11x = 68,698.64
  5. Step 5: Solve for x
    x = 68,698.64/348.11
  6. Step 6: Final answer
    x = 197.35

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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.