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Finding the Fourth Proportional to 174.71, 240.96 and 122.23

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Solution

The fourth proportional to 174.71, 240.96 and 122.23 is: 168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.71 : 240.96 = 122.23 : x
  2. Step 2: Convert to fraction form
    174.71/240.96 = 122.23/x
  3. Step 3: Cross multiply
    174.71x = 240.96 × 122.23
  4. Step 4: Simplify right side
    174.71x = 29,452.54
  5. Step 5: Solve for x
    x = 29,452.54/174.71
  6. Step 6: Final answer
    x = 168.58

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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.