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Finding the Fourth Proportional to 252.88, 349.17 and 219.80

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Solution

The fourth proportional to 252.88, 349.17 and 219.80 is: 303.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 349.17 = 219.80 : x
  2. Step 2: Convert to fraction form
    252.88/349.17 = 219.80/x
  3. Step 3: Cross multiply
    252.88x = 349.17 × 219.80
  4. Step 4: Simplify right side
    252.88x = 76,747.57
  5. Step 5: Solve for x
    x = 76,747.57/252.88
  6. Step 6: Final answer
    x = 303.49

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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.