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Finding the Fourth Proportional to 160.85, 221.91 and 111.85

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Solution

The fourth proportional to 160.85, 221.91 and 111.85 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.85 : 221.91 = 111.85 : x
  2. Step 2: Convert to fraction form
    160.85/221.91 = 111.85/x
  3. Step 3: Cross multiply
    160.85x = 221.91 × 111.85
  4. Step 4: Simplify right side
    160.85x = 24,820.63
  5. Step 5: Solve for x
    x = 24,820.63/160.85
  6. Step 6: Final answer
    x = 154.31

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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.