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Finding the Fourth Proportional to 252.18, 349.77 and 227.88

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Solution

The fourth proportional to 252.18, 349.77 and 227.88 is: 316.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.18 : 349.77 = 227.88 : x
  2. Step 2: Convert to fraction form
    252.18/349.77 = 227.88/x
  3. Step 3: Cross multiply
    252.18x = 349.77 × 227.88
  4. Step 4: Simplify right side
    252.18x = 79,705.59
  5. Step 5: Solve for x
    x = 79,705.59/252.18
  6. Step 6: Final answer
    x = 316.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.