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Finding the Fourth Proportional to 203.93, 281.39 and 193.68

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Solution

The fourth proportional to 203.93, 281.39 and 193.68 is: 267.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.93 : 281.39 = 193.68 : x
  2. Step 2: Convert to fraction form
    203.93/281.39 = 193.68/x
  3. Step 3: Cross multiply
    203.93x = 281.39 × 193.68
  4. Step 4: Simplify right side
    203.93x = 54,499.62
  5. Step 5: Solve for x
    x = 54,499.62/203.93
  6. Step 6: Final answer
    x = 267.25

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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.