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Finding the Fourth Proportional to 171.10, 237.23 and 161.38

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Solution

The fourth proportional to 171.10, 237.23 and 161.38 is: 223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.10 : 237.23 = 161.38 : x
  2. Step 2: Convert to fraction form
    171.10/237.23 = 161.38/x
  3. Step 3: Cross multiply
    171.10x = 237.23 × 161.38
  4. Step 4: Simplify right side
    171.10x = 38,284.18
  5. Step 5: Solve for x
    x = 38,284.18/171.10
  6. Step 6: Final answer
    x = 223.75

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.