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Finding the Fourth Proportional to 108.83, 163.23 and 74.66

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Solution

The fourth proportional to 108.83, 163.23 and 74.66 is: 111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.83 : 163.23 = 74.66 : x
  2. Step 2: Convert to fraction form
    108.83/163.23 = 74.66/x
  3. Step 3: Cross multiply
    108.83x = 163.23 × 74.66
  4. Step 4: Simplify right side
    108.83x = 12,185.94
  5. Step 5: Solve for x
    x = 12,185.94/108.83
  6. Step 6: Final answer
    x = 111.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.