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Finding the Fourth Proportional to 170.79, 255.79 and 109.10

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Solution

The fourth proportional to 170.79, 255.79 and 109.10 is: 163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.79 : 255.79 = 109.10 : x
  2. Step 2: Convert to fraction form
    170.79/255.79 = 109.10/x
  3. Step 3: Cross multiply
    170.79x = 255.79 × 109.10
  4. Step 4: Simplify right side
    170.79x = 27,906.69
  5. Step 5: Solve for x
    x = 27,906.69/170.79
  6. Step 6: Final answer
    x = 163.40

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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.