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Finding the Fourth Proportional to 108.99, 163.25 and 89.69

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Solution

The fourth proportional to 108.99, 163.25 and 89.69 is: 134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.99 : 163.25 = 89.69 : x
  2. Step 2: Convert to fraction form
    108.99/163.25 = 89.69/x
  3. Step 3: Cross multiply
    108.99x = 163.25 × 89.69
  4. Step 4: Simplify right side
    108.99x = 14,640.63
  5. Step 5: Solve for x
    x = 14,640.63/108.99
  6. Step 6: Final answer
    x = 134.33

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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.