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Finding the Fourth Proportional to 170.05, 254.96 and 109.22

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Solution

The fourth proportional to 170.05, 254.96 and 109.22 is: 163.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.05 : 254.96 = 109.22 : x
  2. Step 2: Convert to fraction form
    170.05/254.96 = 109.22/x
  3. Step 3: Cross multiply
    170.05x = 254.96 × 109.22
  4. Step 4: Simplify right side
    170.05x = 27,846.19
  5. Step 5: Solve for x
    x = 27,846.19/170.05
  6. Step 6: Final answer
    x = 163.76

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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.