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Finding the Fourth Proportional to 171.90, 237.11 and 109.71

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Solution

The fourth proportional to 171.90, 237.11 and 109.71 is: 151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.90 : 237.11 = 109.71 : x
  2. Step 2: Convert to fraction form
    171.90/237.11 = 109.71/x
  3. Step 3: Cross multiply
    171.90x = 237.11 × 109.71
  4. Step 4: Simplify right side
    171.90x = 26,012.79
  5. Step 5: Solve for x
    x = 26,012.79/171.90
  6. Step 6: Final answer
    x = 151.33

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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.