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Finding the Fourth Proportional to 172.27, 235.64 and 171.73

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Solution

The fourth proportional to 172.27, 235.64 and 171.73 is: 234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.27 : 235.64 = 171.73 : x
  2. Step 2: Convert to fraction form
    172.27/235.64 = 171.73/x
  3. Step 3: Cross multiply
    172.27x = 235.64 × 171.73
  4. Step 4: Simplify right side
    172.27x = 40,466.46
  5. Step 5: Solve for x
    x = 40,466.46/172.27
  6. Step 6: Final answer
    x = 234.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.