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Finding the Fourth Proportional to 170.82, 256.26 and 89.73

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Solution

The fourth proportional to 170.82, 256.26 and 89.73 is: 134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.82 : 256.26 = 89.73 : x
  2. Step 2: Convert to fraction form
    170.82/256.26 = 89.73/x
  3. Step 3: Cross multiply
    170.82x = 256.26 × 89.73
  4. Step 4: Simplify right side
    170.82x = 22,994.21
  5. Step 5: Solve for x
    x = 22,994.21/170.82
  6. Step 6: Final answer
    x = 134.61

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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.