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Finding the Fourth Proportional to 348.38, 522.63 and 132.11

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Solution

The fourth proportional to 348.38, 522.63 and 132.11 is: 198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.38 : 522.63 = 132.11 : x
  2. Step 2: Convert to fraction form
    348.38/522.63 = 132.11/x
  3. Step 3: Cross multiply
    348.38x = 522.63 × 132.11
  4. Step 4: Simplify right side
    348.38x = 69,041.38
  5. Step 5: Solve for x
    x = 69,041.38/348.38
  6. Step 6: Final answer
    x = 198.18

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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.