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Finding the Fourth Proportional to 348.42, 522.15 and 194.12

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Solution

The fourth proportional to 348.42, 522.15 and 194.12 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.42 : 522.15 = 194.12 : x
  2. Step 2: Convert to fraction form
    348.42/522.15 = 194.12/x
  3. Step 3: Cross multiply
    348.42x = 522.15 × 194.12
  4. Step 4: Simplify right side
    348.42x = 101,359.76
  5. Step 5: Solve for x
    x = 101,359.76/348.42
  6. Step 6: Final answer
    x = 290.91

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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.