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Finding the Fourth Proportional to 204.74, 282.27 and 171.11

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Solution

The fourth proportional to 204.74, 282.27 and 171.11 is: 235.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.74 : 282.27 = 171.11 : x
  2. Step 2: Convert to fraction form
    204.74/282.27 = 171.11/x
  3. Step 3: Cross multiply
    204.74x = 282.27 × 171.11
  4. Step 4: Simplify right side
    204.74x = 48,297.81
  5. Step 5: Solve for x
    x = 48,297.81/204.74
  6. Step 6: Final answer
    x = 235.90

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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.