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Finding the Fourth Proportional to 203.52, 281.43 and 154.38

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Solution

The fourth proportional to 203.52, 281.43 and 154.38 is: 213.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 281.43 = 154.38 : x
  2. Step 2: Convert to fraction form
    203.52/281.43 = 154.38/x
  3. Step 3: Cross multiply
    203.52x = 281.43 × 154.38
  4. Step 4: Simplify right side
    203.52x = 43,447.16
  5. Step 5: Solve for x
    x = 43,447.16/203.52
  6. Step 6: Final answer
    x = 213.48

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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.