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Finding the Fourth Proportional to 108.47, 163.50 and 102.20

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Solution

The fourth proportional to 108.47, 163.50 and 102.20 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.47 : 163.50 = 102.20 : x
  2. Step 2: Convert to fraction form
    108.47/163.50 = 102.20/x
  3. Step 3: Cross multiply
    108.47x = 163.50 × 102.20
  4. Step 4: Simplify right side
    108.47x = 16,709.70
  5. Step 5: Solve for x
    x = 16,709.70/108.47
  6. Step 6: Final answer
    x = 154.05

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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.