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Finding the Fourth Proportional to 170.26, 256.63 and 161.74

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Solution

The fourth proportional to 170.26, 256.63 and 161.74 is: 243.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.26 : 256.63 = 161.74 : x
  2. Step 2: Convert to fraction form
    170.26/256.63 = 161.74/x
  3. Step 3: Cross multiply
    170.26x = 256.63 × 161.74
  4. Step 4: Simplify right side
    170.26x = 41,507.34
  5. Step 5: Solve for x
    x = 41,507.34/170.26
  6. Step 6: Final answer
    x = 243.79

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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.