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Finding the Fourth Proportional to 171.08, 258.14 and 164.75

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Solution

The fourth proportional to 171.08, 258.14 and 164.75 is: 248.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.08 : 258.14 = 164.75 : x
  2. Step 2: Convert to fraction form
    171.08/258.14 = 164.75/x
  3. Step 3: Cross multiply
    171.08x = 258.14 × 164.75
  4. Step 4: Simplify right side
    171.08x = 42,528.57
  5. Step 5: Solve for x
    x = 42,528.57/171.08
  6. Step 6: Final answer
    x = 248.59

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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.