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Finding the Fourth Proportional to 160.44, 221.46 and 108.06

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Solution

The fourth proportional to 160.44, 221.46 and 108.06 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.44 : 221.46 = 108.06 : x
  2. Step 2: Convert to fraction form
    160.44/221.46 = 108.06/x
  3. Step 3: Cross multiply
    160.44x = 221.46 × 108.06
  4. Step 4: Simplify right side
    160.44x = 23,930.97
  5. Step 5: Solve for x
    x = 23,930.97/160.44
  6. Step 6: Final answer
    x = 149.16

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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.