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Finding the Fourth Proportional to 160.09, 220.96 and 104.73

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Solution

The fourth proportional to 160.09, 220.96 and 104.73 is: 144.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.09 : 220.96 = 104.73 : x
  2. Step 2: Convert to fraction form
    160.09/220.96 = 104.73/x
  3. Step 3: Cross multiply
    160.09x = 220.96 × 104.73
  4. Step 4: Simplify right side
    160.09x = 23,139.77
  5. Step 5: Solve for x
    x = 23,139.77/160.09
  6. Step 6: Final answer
    x = 144.54

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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.