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Finding the Fourth Proportional to 171.42, 236.58 and 109.25

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Solution

The fourth proportional to 171.42, 236.58 and 109.25 is: 150.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.42 : 236.58 = 109.25 : x
  2. Step 2: Convert to fraction form
    171.42/236.58 = 109.25/x
  3. Step 3: Cross multiply
    171.42x = 236.58 × 109.25
  4. Step 4: Simplify right side
    171.42x = 25,846.37
  5. Step 5: Solve for x
    x = 25,846.37/171.42
  6. Step 6: Final answer
    x = 150.78

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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.