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Finding the Fourth Proportional to 171.22, 257 and 106.28

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Solution

The fourth proportional to 171.22, 257 and 106.28 is: 159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.22 : 257 = 106.28 : x
  2. Step 2: Convert to fraction form
    171.22/257 = 106.28/x
  3. Step 3: Cross multiply
    171.22x = 257 × 106.28
  4. Step 4: Simplify right side
    171.22x = 27,313.96
  5. Step 5: Solve for x
    x = 27,313.96/171.22
  6. Step 6: Final answer
    x = 159.53

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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.