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Finding the Fourth Proportional to 203.13, 282.31 and 200.97

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Solution

The fourth proportional to 203.13, 282.31 and 200.97 is: 279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.13 : 282.31 = 200.97 : x
  2. Step 2: Convert to fraction form
    203.13/282.31 = 200.97/x
  3. Step 3: Cross multiply
    203.13x = 282.31 × 200.97
  4. Step 4: Simplify right side
    203.13x = 56,735.34
  5. Step 5: Solve for x
    x = 56,735.34/203.13
  6. Step 6: Final answer
    x = 279.31

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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.