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Finding the Fourth Proportional to 171.96, 236.94 and 120.12

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Solution

The fourth proportional to 171.96, 236.94 and 120.12 is: 165.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.96 : 236.94 = 120.12 : x
  2. Step 2: Convert to fraction form
    171.96/236.94 = 120.12/x
  3. Step 3: Cross multiply
    171.96x = 236.94 × 120.12
  4. Step 4: Simplify right side
    171.96x = 28,461.23
  5. Step 5: Solve for x
    x = 28,461.23/171.96
  6. Step 6: Final answer
    x = 165.51

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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.