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Finding the Fourth Proportional to 229.75, 343.86 and 192.85

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Solution

The fourth proportional to 229.75, 343.86 and 192.85 is: 288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.75 : 343.86 = 192.85 : x
  2. Step 2: Convert to fraction form
    229.75/343.86 = 192.85/x
  3. Step 3: Cross multiply
    229.75x = 343.86 × 192.85
  4. Step 4: Simplify right side
    229.75x = 66,313.40
  5. Step 5: Solve for x
    x = 66,313.40/229.75
  6. Step 6: Final answer
    x = 288.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.