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Finding the Fourth Proportional to 171.39, 236.40 and 109.16

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Solution

The fourth proportional to 171.39, 236.40 and 109.16 is: 150.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.39 : 236.40 = 109.16 : x
  2. Step 2: Convert to fraction form
    171.39/236.40 = 109.16/x
  3. Step 3: Cross multiply
    171.39x = 236.40 × 109.16
  4. Step 4: Simplify right side
    171.39x = 25,804.72
  5. Step 5: Solve for x
    x = 25,804.72/171.39
  6. Step 6: Final answer
    x = 150.56

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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.