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Finding the Fourth Proportional to 170.75, 255.55 and 142.28

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Solution

The fourth proportional to 170.75, 255.55 and 142.28 is: 212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.75 : 255.55 = 142.28 : x
  2. Step 2: Convert to fraction form
    170.75/255.55 = 142.28/x
  3. Step 3: Cross multiply
    170.75x = 255.55 × 142.28
  4. Step 4: Simplify right side
    170.75x = 36,359.65
  5. Step 5: Solve for x
    x = 36,359.65/170.75
  6. Step 6: Final answer
    x = 212.94

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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.