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Finding the Fourth Proportional to 170.73, 235.60 and 97.05

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Solution

The fourth proportional to 170.73, 235.60 and 97.05 is: 133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.73 : 235.60 = 97.05 : x
  2. Step 2: Convert to fraction form
    170.73/235.60 = 97.05/x
  3. Step 3: Cross multiply
    170.73x = 235.60 × 97.05
  4. Step 4: Simplify right side
    170.73x = 22,863.32
  5. Step 5: Solve for x
    x = 22,863.32/170.73
  6. Step 6: Final answer
    x = 133.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.