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Finding the Fourth Proportional to 348.63, 522.87 and 209.85

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Solution

The fourth proportional to 348.63, 522.87 and 209.85 is: 314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.63 : 522.87 = 209.85 : x
  2. Step 2: Convert to fraction form
    348.63/522.87 = 209.85/x
  3. Step 3: Cross multiply
    348.63x = 522.87 × 209.85
  4. Step 4: Simplify right side
    348.63x = 109,724.27
  5. Step 5: Solve for x
    x = 109,724.27/348.63
  6. Step 6: Final answer
    x = 314.73

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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.