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Finding the Fourth Proportional to 204.49, 281.85 and 167.56

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Solution

The fourth proportional to 204.49, 281.85 and 167.56 is: 230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.49 : 281.85 = 167.56 : x
  2. Step 2: Convert to fraction form
    204.49/281.85 = 167.56/x
  3. Step 3: Cross multiply
    204.49x = 281.85 × 167.56
  4. Step 4: Simplify right side
    204.49x = 47,226.79
  5. Step 5: Solve for x
    x = 47,226.79/204.49
  6. Step 6: Final answer
    x = 230.95

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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.