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Finding the Fourth Proportional to 109.21, 162.51 and 108.85

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Solution

The fourth proportional to 109.21, 162.51 and 108.85 is: 161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.21 : 162.51 = 108.85 : x
  2. Step 2: Convert to fraction form
    109.21/162.51 = 108.85/x
  3. Step 3: Cross multiply
    109.21x = 162.51 × 108.85
  4. Step 4: Simplify right side
    109.21x = 17,689.21
  5. Step 5: Solve for x
    x = 17,689.21/109.21
  6. Step 6: Final answer
    x = 161.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.