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Finding the Fourth Proportional to 108.36, 163.47 and 103.68

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Solution

The fourth proportional to 108.36, 163.47 and 103.68 is: 156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.36 : 163.47 = 103.68 : x
  2. Step 2: Convert to fraction form
    108.36/163.47 = 103.68/x
  3. Step 3: Cross multiply
    108.36x = 163.47 × 103.68
  4. Step 4: Simplify right side
    108.36x = 16,948.57
  5. Step 5: Solve for x
    x = 16,948.57/108.36
  6. Step 6: Final answer
    x = 156.41

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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.