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Finding the Fourth Proportional to 160.93, 221.97 and 111.82

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Solution

The fourth proportional to 160.93, 221.97 and 111.82 is: 154.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.93 : 221.97 = 111.82 : x
  2. Step 2: Convert to fraction form
    160.93/221.97 = 111.82/x
  3. Step 3: Cross multiply
    160.93x = 221.97 × 111.82
  4. Step 4: Simplify right side
    160.93x = 24,820.69
  5. Step 5: Solve for x
    x = 24,820.69/160.93
  6. Step 6: Final answer
    x = 154.23

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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.