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Finding the Fourth Proportional to 171.24, 236.23 and 119.52

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Solution

The fourth proportional to 171.24, 236.23 and 119.52 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.24 : 236.23 = 119.52 : x
  2. Step 2: Convert to fraction form
    171.24/236.23 = 119.52/x
  3. Step 3: Cross multiply
    171.24x = 236.23 × 119.52
  4. Step 4: Simplify right side
    171.24x = 28,233.03
  5. Step 5: Solve for x
    x = 28,233.03/171.24
  6. Step 6: Final answer
    x = 164.88

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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.