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Finding the Fourth Proportional to 167.22, 249.60 and 155

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Solution

The fourth proportional to 167.22, 249.60 and 155 is: 231.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 249.60 = 155 : x
  2. Step 2: Convert to fraction form
    167.22/249.60 = 155/x
  3. Step 3: Cross multiply
    167.22x = 249.60 × 155
  4. Step 4: Simplify right side
    167.22x = 38,687.23
  5. Step 5: Solve for x
    x = 38,687.23/167.22
  6. Step 6: Final answer
    x = 231.36

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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.