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Finding the Fourth Proportional to 170.71, 257.46 and 165.23

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Solution

The fourth proportional to 170.71, 257.46 and 165.23 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.71 : 257.46 = 165.23 : x
  2. Step 2: Convert to fraction form
    170.71/257.46 = 165.23/x
  3. Step 3: Cross multiply
    170.71x = 257.46 × 165.23
  4. Step 4: Simplify right side
    170.71x = 42,540.12
  5. Step 5: Solve for x
    x = 42,540.12/170.71
  6. Step 6: Final answer
    x = 249.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.