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Finding the Fourth Proportional to 108.40, 163.45 and 107.05

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Solution

The fourth proportional to 108.40, 163.45 and 107.05 is: 161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.40 : 163.45 = 107.05 : x
  2. Step 2: Convert to fraction form
    108.40/163.45 = 107.05/x
  3. Step 3: Cross multiply
    108.40x = 163.45 × 107.05
  4. Step 4: Simplify right side
    108.40x = 17,497.32
  5. Step 5: Solve for x
    x = 17,497.32/108.40
  6. Step 6: Final answer
    x = 161.41

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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.