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Finding the Fourth Proportional to 170.92, 257.83 and 170.56

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Solution

The fourth proportional to 170.92, 257.83 and 170.56 is: 257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.92 : 257.83 = 170.56 : x
  2. Step 2: Convert to fraction form
    170.92/257.83 = 170.56/x
  3. Step 3: Cross multiply
    170.92x = 257.83 × 170.56
  4. Step 4: Simplify right side
    170.92x = 43,975.48
  5. Step 5: Solve for x
    x = 43,975.48/170.92
  6. Step 6: Final answer
    x = 257.29

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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.