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Finding the Fourth Proportional to 160.67, 221.63 and 108.22

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Solution

The fourth proportional to 160.67, 221.63 and 108.22 is: 149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.67 : 221.63 = 108.22 : x
  2. Step 2: Convert to fraction form
    160.67/221.63 = 108.22/x
  3. Step 3: Cross multiply
    160.67x = 221.63 × 108.22
  4. Step 4: Simplify right side
    160.67x = 23,984.80
  5. Step 5: Solve for x
    x = 23,984.80/160.67
  6. Step 6: Final answer
    x = 149.28

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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.