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Finding the Fourth Proportional to 109.12, 162.55 and 108.92

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Solution

The fourth proportional to 109.12, 162.55 and 108.92 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.12 : 162.55 = 108.92 : x
  2. Step 2: Convert to fraction form
    109.12/162.55 = 108.92/x
  3. Step 3: Cross multiply
    109.12x = 162.55 × 108.92
  4. Step 4: Simplify right side
    109.12x = 17,704.95
  5. Step 5: Solve for x
    x = 17,704.95/109.12
  6. Step 6: Final answer
    x = 162.25

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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.