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Finding the Fourth Proportional to 170.91, 235.89 and 121.77

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Solution

The fourth proportional to 170.91, 235.89 and 121.77 is: 168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.91 : 235.89 = 121.77 : x
  2. Step 2: Convert to fraction form
    170.91/235.89 = 121.77/x
  3. Step 3: Cross multiply
    170.91x = 235.89 × 121.77
  4. Step 4: Simplify right side
    170.91x = 28,724.33
  5. Step 5: Solve for x
    x = 28,724.33/170.91
  6. Step 6: Final answer
    x = 168.07

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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.