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Finding the Fourth Proportional to 161.34, 222.12 and 139.38

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Solution

The fourth proportional to 161.34, 222.12 and 139.38 is: 191.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.34 : 222.12 = 139.38 : x
  2. Step 2: Convert to fraction form
    161.34/222.12 = 139.38/x
  3. Step 3: Cross multiply
    161.34x = 222.12 × 139.38
  4. Step 4: Simplify right side
    161.34x = 30,959.09
  5. Step 5: Solve for x
    x = 30,959.09/161.34
  6. Step 6: Final answer
    x = 191.89

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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.