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Finding the Fourth Proportional to 252.06, 347.67 and 222.30

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Solution

The fourth proportional to 252.06, 347.67 and 222.30 is: 306.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.06 : 347.67 = 222.30 : x
  2. Step 2: Convert to fraction form
    252.06/347.67 = 222.30/x
  3. Step 3: Cross multiply
    252.06x = 347.67 × 222.30
  4. Step 4: Simplify right side
    252.06x = 77,287.04
  5. Step 5: Solve for x
    x = 77,287.04/252.06
  6. Step 6: Final answer
    x = 306.62

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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.