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Finding the Fourth Proportional to 171.62, 255.61 and 170.72

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Solution

The fourth proportional to 171.62, 255.61 and 170.72 is: 254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.62 : 255.61 = 170.72 : x
  2. Step 2: Convert to fraction form
    171.62/255.61 = 170.72/x
  3. Step 3: Cross multiply
    171.62x = 255.61 × 170.72
  4. Step 4: Simplify right side
    171.62x = 43,637.74
  5. Step 5: Solve for x
    x = 43,637.74/171.62
  6. Step 6: Final answer
    x = 254.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.