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Finding the Fourth Proportional to 161.96, 223.56 and 96.50

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Solution

The fourth proportional to 161.96, 223.56 and 96.50 is: 133.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.96 : 223.56 = 96.50 : x
  2. Step 2: Convert to fraction form
    161.96/223.56 = 96.50/x
  3. Step 3: Cross multiply
    161.96x = 223.56 × 96.50
  4. Step 4: Simplify right side
    161.96x = 21,573.54
  5. Step 5: Solve for x
    x = 21,573.54/161.96
  6. Step 6: Final answer
    x = 133.20

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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.