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Finding the Fourth Proportional to 348.50, 480.80 and 208.59

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Solution

The fourth proportional to 348.50, 480.80 and 208.59 is: 287.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.50 : 480.80 = 208.59 : x
  2. Step 2: Convert to fraction form
    348.50/480.80 = 208.59/x
  3. Step 3: Cross multiply
    348.50x = 480.80 × 208.59
  4. Step 4: Simplify right side
    348.50x = 100,290.59
  5. Step 5: Solve for x
    x = 100,290.59/348.50
  6. Step 6: Final answer
    x = 287.78

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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.