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Finding the Fourth Proportional to 170.19, 255.11 and 83.47

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Solution

The fourth proportional to 170.19, 255.11 and 83.47 is: 125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.19 : 255.11 = 83.47 : x
  2. Step 2: Convert to fraction form
    170.19/255.11 = 83.47/x
  3. Step 3: Cross multiply
    170.19x = 255.11 × 83.47
  4. Step 4: Simplify right side
    170.19x = 21,294.03
  5. Step 5: Solve for x
    x = 21,294.03/170.19
  6. Step 6: Final answer
    x = 125.12

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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.