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Finding the Fourth Proportional to 167.34, 231.22 and 138.18

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Solution

The fourth proportional to 167.34, 231.22 and 138.18 is: 190.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.34 : 231.22 = 138.18 : x
  2. Step 2: Convert to fraction form
    167.34/231.22 = 138.18/x
  3. Step 3: Cross multiply
    167.34x = 231.22 × 138.18
  4. Step 4: Simplify right side
    167.34x = 31,948.77
  5. Step 5: Solve for x
    x = 31,948.77/167.34
  6. Step 6: Final answer
    x = 190.93

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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.