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Finding the Fourth Proportional to 171.46, 236.37 and 169.14

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Solution

The fourth proportional to 171.46, 236.37 and 169.14 is: 233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.46 : 236.37 = 169.14 : x
  2. Step 2: Convert to fraction form
    171.46/236.37 = 169.14/x
  3. Step 3: Cross multiply
    171.46x = 236.37 × 169.14
  4. Step 4: Simplify right side
    171.46x = 39,979.62
  5. Step 5: Solve for x
    x = 39,979.62/171.46
  6. Step 6: Final answer
    x = 233.17

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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.