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Finding the Fourth Proportional to 108.62, 163.56 and 98.30

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Solution

The fourth proportional to 108.62, 163.56 and 98.30 is: 148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.62 : 163.56 = 98.30 : x
  2. Step 2: Convert to fraction form
    108.62/163.56 = 98.30/x
  3. Step 3: Cross multiply
    108.62x = 163.56 × 98.30
  4. Step 4: Simplify right side
    108.62x = 16,077.95
  5. Step 5: Solve for x
    x = 16,077.95/108.62
  6. Step 6: Final answer
    x = 148.02

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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.