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Finding the Fourth Proportional to 170.75, 235.29 and 121.54

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Solution

The fourth proportional to 170.75, 235.29 and 121.54 is: 167.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.75 : 235.29 = 121.54 : x
  2. Step 2: Convert to fraction form
    170.75/235.29 = 121.54/x
  3. Step 3: Cross multiply
    170.75x = 235.29 × 121.54
  4. Step 4: Simplify right side
    170.75x = 28,596.56
  5. Step 5: Solve for x
    x = 28,596.56/170.75
  6. Step 6: Final answer
    x = 167.48

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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.