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Finding the Fourth Proportional to 161.78, 223.19 and 96.22

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Solution

The fourth proportional to 161.78, 223.19 and 96.22 is: 132.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.78 : 223.19 = 96.22 : x
  2. Step 2: Convert to fraction form
    161.78/223.19 = 96.22/x
  3. Step 3: Cross multiply
    161.78x = 223.19 × 96.22
  4. Step 4: Simplify right side
    161.78x = 21,475.34
  5. Step 5: Solve for x
    x = 21,475.34/161.78
  6. Step 6: Final answer
    x = 132.74

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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.