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Finding the Fourth Proportional to 203.72, 281.34 and 186.17

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Solution

The fourth proportional to 203.72, 281.34 and 186.17 is: 257.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.72 : 281.34 = 186.17 : x
  2. Step 2: Convert to fraction form
    203.72/281.34 = 186.17/x
  3. Step 3: Cross multiply
    203.72x = 281.34 × 186.17
  4. Step 4: Simplify right side
    203.72x = 52,375.66
  5. Step 5: Solve for x
    x = 52,375.66/203.72
  6. Step 6: Final answer
    x = 257.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.