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Finding the Fourth Proportional to 171.05, 255.54 and 170.24

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Solution

The fourth proportional to 171.05, 255.54 and 170.24 is: 254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.05 : 255.54 = 170.24 : x
  2. Step 2: Convert to fraction form
    171.05/255.54 = 170.24/x
  3. Step 3: Cross multiply
    171.05x = 255.54 × 170.24
  4. Step 4: Simplify right side
    171.05x = 43,502.28
  5. Step 5: Solve for x
    x = 43,502.28/171.05
  6. Step 6: Final answer
    x = 254.32

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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.