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Finding the Fourth Proportional to 204.47, 281.69 and 173.29

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Solution

The fourth proportional to 204.47, 281.69 and 173.29 is: 238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.47 : 281.69 = 173.29 : x
  2. Step 2: Convert to fraction form
    204.47/281.69 = 173.29/x
  3. Step 3: Cross multiply
    204.47x = 281.69 × 173.29
  4. Step 4: Simplify right side
    204.47x = 48,811.79
  5. Step 5: Solve for x
    x = 48,811.79/204.47
  6. Step 6: Final answer
    x = 238.72

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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.