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Finding the Fourth Proportional to 170.25, 253.69 and 164.73

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Solution

The fourth proportional to 170.25, 253.69 and 164.73 is: 245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.25 : 253.69 = 164.73 : x
  2. Step 2: Convert to fraction form
    170.25/253.69 = 164.73/x
  3. Step 3: Cross multiply
    170.25x = 253.69 × 164.73
  4. Step 4: Simplify right side
    170.25x = 41,790.35
  5. Step 5: Solve for x
    x = 41,790.35/170.25
  6. Step 6: Final answer
    x = 245.46

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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.