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Finding the Fourth Proportional to 170.96, 258 and 166.64

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Solution

The fourth proportional to 170.96, 258 and 166.64 is: 251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 258 = 166.64 : x
  2. Step 2: Convert to fraction form
    170.96/258 = 166.64/x
  3. Step 3: Cross multiply
    170.96x = 258 × 166.64
  4. Step 4: Simplify right side
    170.96x = 42,993.12
  5. Step 5: Solve for x
    x = 42,993.12/170.96
  6. Step 6: Final answer
    x = 251.48

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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.