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Finding the Fourth Proportional to 348.27, 480.48 and 208.39

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Solution

The fourth proportional to 348.27, 480.48 and 208.39 is: 287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.27 : 480.48 = 208.39 : x
  2. Step 2: Convert to fraction form
    348.27/480.48 = 208.39/x
  3. Step 3: Cross multiply
    348.27x = 480.48 × 208.39
  4. Step 4: Simplify right side
    348.27x = 100,127.75
  5. Step 5: Solve for x
    x = 100,127.75/348.27
  6. Step 6: Final answer
    x = 287.50

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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.