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Finding the Fourth Proportional to 171.87, 237.12 and 109.72

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Solution

The fourth proportional to 171.87, 237.12 and 109.72 is: 151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.87 : 237.12 = 109.72 : x
  2. Step 2: Convert to fraction form
    171.87/237.12 = 109.72/x
  3. Step 3: Cross multiply
    171.87x = 237.12 × 109.72
  4. Step 4: Simplify right side
    171.87x = 26,016.81
  5. Step 5: Solve for x
    x = 26,016.81/171.87
  6. Step 6: Final answer
    x = 151.37

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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.