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Finding the Fourth Proportional to 172.17, 236.97 and 165.96

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Solution

The fourth proportional to 172.17, 236.97 and 165.96 is: 228.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.17 : 236.97 = 165.96 : x
  2. Step 2: Convert to fraction form
    172.17/236.97 = 165.96/x
  3. Step 3: Cross multiply
    172.17x = 236.97 × 165.96
  4. Step 4: Simplify right side
    172.17x = 39,327.54
  5. Step 5: Solve for x
    x = 39,327.54/172.17
  6. Step 6: Final answer
    x = 228.42

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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.