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Finding the Fourth Proportional to 227.66, 343.22 and 191.84

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Solution

The fourth proportional to 227.66, 343.22 and 191.84 is: 289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.66 : 343.22 = 191.84 : x
  2. Step 2: Convert to fraction form
    227.66/343.22 = 191.84/x
  3. Step 3: Cross multiply
    227.66x = 343.22 × 191.84
  4. Step 4: Simplify right side
    227.66x = 65,840.65
  5. Step 5: Solve for x
    x = 65,840.65/227.66
  6. Step 6: Final answer
    x = 289.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.