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Finding the Fourth Proportional to 170.96, 235.89 and 97.29

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Solution

The fourth proportional to 170.96, 235.89 and 97.29 is: 134.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.96 : 235.89 = 97.29 : x
  2. Step 2: Convert to fraction form
    170.96/235.89 = 97.29/x
  3. Step 3: Cross multiply
    170.96x = 235.89 × 97.29
  4. Step 4: Simplify right side
    170.96x = 22,949.74
  5. Step 5: Solve for x
    x = 22,949.74/170.96
  6. Step 6: Final answer
    x = 134.24

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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.