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Finding the Fourth Proportional to 109.38, 162.86 and 108.54

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Solution

The fourth proportional to 109.38, 162.86 and 108.54 is: 161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.38 : 162.86 = 108.54 : x
  2. Step 2: Convert to fraction form
    109.38/162.86 = 108.54/x
  3. Step 3: Cross multiply
    109.38x = 162.86 × 108.54
  4. Step 4: Simplify right side
    109.38x = 17,676.28
  5. Step 5: Solve for x
    x = 17,676.28/109.38
  6. Step 6: Final answer
    x = 161.60

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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.