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Finding the Fourth Proportional to 348.20, 480.32 and 200.78

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Solution

The fourth proportional to 348.20, 480.32 and 200.78 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.20 : 480.32 = 200.78 : x
  2. Step 2: Convert to fraction form
    348.20/480.32 = 200.78/x
  3. Step 3: Cross multiply
    348.20x = 480.32 × 200.78
  4. Step 4: Simplify right side
    348.20x = 96,438.65
  5. Step 5: Solve for x
    x = 96,438.65/348.20
  6. Step 6: Final answer
    x = 276.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.