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Finding the Fourth Proportional to 171.87, 237.23 and 109.66

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Solution

The fourth proportional to 171.87, 237.23 and 109.66 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.87 : 237.23 = 109.66 : x
  2. Step 2: Convert to fraction form
    171.87/237.23 = 109.66/x
  3. Step 3: Cross multiply
    171.87x = 237.23 × 109.66
  4. Step 4: Simplify right side
    171.87x = 26,014.64
  5. Step 5: Solve for x
    x = 26,014.64/171.87
  6. Step 6: Final answer
    x = 151.36

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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.