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Finding the Fourth Proportional to 348.09, 480.38 and 217.09

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Solution

The fourth proportional to 348.09, 480.38 and 217.09 is: 299.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.09 : 480.38 = 217.09 : x
  2. Step 2: Convert to fraction form
    348.09/480.38 = 217.09/x
  3. Step 3: Cross multiply
    348.09x = 480.38 × 217.09
  4. Step 4: Simplify right side
    348.09x = 104,285.69
  5. Step 5: Solve for x
    x = 104,285.69/348.09
  6. Step 6: Final answer
    x = 299.59

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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.