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Finding the Fourth Proportional to 203.89, 281.42 and 121.03

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Solution

The fourth proportional to 203.89, 281.42 and 121.03 is: 167.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.89 : 281.42 = 121.03 : x
  2. Step 2: Convert to fraction form
    203.89/281.42 = 121.03/x
  3. Step 3: Cross multiply
    203.89x = 281.42 × 121.03
  4. Step 4: Simplify right side
    203.89x = 34,060.09
  5. Step 5: Solve for x
    x = 34,060.09/203.89
  6. Step 6: Final answer
    x = 167.05

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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.