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Finding the Fourth Proportional to 167.22, 249.54 and 162.90

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Solution

The fourth proportional to 167.22, 249.54 and 162.90 is: 243.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 249.54 = 162.90 : x
  2. Step 2: Convert to fraction form
    167.22/249.54 = 162.90/x
  3. Step 3: Cross multiply
    167.22x = 249.54 × 162.90
  4. Step 4: Simplify right side
    167.22x = 40,650.07
  5. Step 5: Solve for x
    x = 40,650.07/167.22
  6. Step 6: Final answer
    x = 243.09

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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.