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Finding the Fourth Proportional to 252.20, 347.82 and 203.06

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Solution

The fourth proportional to 252.20, 347.82 and 203.06 is: 280.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.20 : 347.82 = 203.06 : x
  2. Step 2: Convert to fraction form
    252.20/347.82 = 203.06/x
  3. Step 3: Cross multiply
    252.20x = 347.82 × 203.06
  4. Step 4: Simplify right side
    252.20x = 70,628.33
  5. Step 5: Solve for x
    x = 70,628.33/252.20
  6. Step 6: Final answer
    x = 280.05

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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.