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Finding the Fourth Proportional to 204.29, 281.77 and 188.09

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Solution

The fourth proportional to 204.29, 281.77 and 188.09 is: 259.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.29 : 281.77 = 188.09 : x
  2. Step 2: Convert to fraction form
    204.29/281.77 = 188.09/x
  3. Step 3: Cross multiply
    204.29x = 281.77 × 188.09
  4. Step 4: Simplify right side
    204.29x = 52,998.12
  5. Step 5: Solve for x
    x = 52,998.12/204.29
  6. Step 6: Final answer
    x = 259.43

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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.