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Finding the Fourth Proportional to 203.78, 281.25 and 148.70

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Solution

The fourth proportional to 203.78, 281.25 and 148.70 is: 205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.78 : 281.25 = 148.70 : x
  2. Step 2: Convert to fraction form
    203.78/281.25 = 148.70/x
  3. Step 3: Cross multiply
    203.78x = 281.25 × 148.70
  4. Step 4: Simplify right side
    203.78x = 41,821.88
  5. Step 5: Solve for x
    x = 41,821.88/203.78
  6. Step 6: Final answer
    x = 205.23

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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.