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Finding the Fourth Proportional to 170.85, 236.96 and 154.65

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Solution

The fourth proportional to 170.85, 236.96 and 154.65 is: 214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.85 : 236.96 = 154.65 : x
  2. Step 2: Convert to fraction form
    170.85/236.96 = 154.65/x
  3. Step 3: Cross multiply
    170.85x = 236.96 × 154.65
  4. Step 4: Simplify right side
    170.85x = 36,645.09
  5. Step 5: Solve for x
    x = 36,645.09/170.85
  6. Step 6: Final answer
    x = 214.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.