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Finding the Fourth Proportional to 170.97, 254.39 and 170.39

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Solution

The fourth proportional to 170.97, 254.39 and 170.39 is: 253.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.97 : 254.39 = 170.39 : x
  2. Step 2: Convert to fraction form
    170.97/254.39 = 170.39/x
  3. Step 3: Cross multiply
    170.97x = 254.39 × 170.39
  4. Step 4: Simplify right side
    170.97x = 43,346.57
  5. Step 5: Solve for x
    x = 43,346.57/170.97
  6. Step 6: Final answer
    x = 253.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.