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Finding the Fourth Proportional to 170.50, 255.13 and 112.48

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Solution

The fourth proportional to 170.50, 255.13 and 112.48 is: 168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.50 : 255.13 = 112.48 : x
  2. Step 2: Convert to fraction form
    170.50/255.13 = 112.48/x
  3. Step 3: Cross multiply
    170.50x = 255.13 × 112.48
  4. Step 4: Simplify right side
    170.50x = 28,695.75
  5. Step 5: Solve for x
    x = 28,695.75/170.50
  6. Step 6: Final answer
    x = 168.31

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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.