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Finding the Fourth Proportional to 160.96, 222.09 and 98.83

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Solution

The fourth proportional to 160.96, 222.09 and 98.83 is: 136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.96 : 222.09 = 98.83 : x
  2. Step 2: Convert to fraction form
    160.96/222.09 = 98.83/x
  3. Step 3: Cross multiply
    160.96x = 222.09 × 98.83
  4. Step 4: Simplify right side
    160.96x = 21,949.15
  5. Step 5: Solve for x
    x = 21,949.15/160.96
  6. Step 6: Final answer
    x = 136.36

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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.