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Finding the Fourth Proportional to 170.29, 254.82 and 109.14

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Solution

The fourth proportional to 170.29, 254.82 and 109.14 is: 163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.29 : 254.82 = 109.14 : x
  2. Step 2: Convert to fraction form
    170.29/254.82 = 109.14/x
  3. Step 3: Cross multiply
    170.29x = 254.82 × 109.14
  4. Step 4: Simplify right side
    170.29x = 27,811.05
  5. Step 5: Solve for x
    x = 27,811.05/170.29
  6. Step 6: Final answer
    x = 163.32

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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.