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Finding the Fourth Proportional to 109.44, 165.03 and 108.18

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Solution

The fourth proportional to 109.44, 165.03 and 108.18 is: 163.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.44 : 165.03 = 108.18 : x
  2. Step 2: Convert to fraction form
    109.44/165.03 = 108.18/x
  3. Step 3: Cross multiply
    109.44x = 165.03 × 108.18
  4. Step 4: Simplify right side
    109.44x = 17,852.95
  5. Step 5: Solve for x
    x = 17,852.95/109.44
  6. Step 6: Final answer
    x = 163.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.