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Finding the Fourth Proportional to 204.43, 281.78 and 165.55

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Solution

The fourth proportional to 204.43, 281.78 and 165.55 is: 228.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.43 : 281.78 = 165.55 : x
  2. Step 2: Convert to fraction form
    204.43/281.78 = 165.55/x
  3. Step 3: Cross multiply
    204.43x = 281.78 × 165.55
  4. Step 4: Simplify right side
    204.43x = 46,647.85
  5. Step 5: Solve for x
    x = 46,647.85/204.43
  6. Step 6: Final answer
    x = 228.18

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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.