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Finding the Fourth Proportional to 167.73, 250.31 and 149.51

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Solution

The fourth proportional to 167.73, 250.31 and 149.51 is: 223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.73 : 250.31 = 149.51 : x
  2. Step 2: Convert to fraction form
    167.73/250.31 = 149.51/x
  3. Step 3: Cross multiply
    167.73x = 250.31 × 149.51
  4. Step 4: Simplify right side
    167.73x = 37,422.60
  5. Step 5: Solve for x
    x = 37,422.60/167.73
  6. Step 6: Final answer
    x = 223.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.