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Finding the Fourth Proportional to 227.20, 313.60 and 204.80

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Solution

The fourth proportional to 227.20, 313.60 and 204.80 is: 282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.20 : 313.60 = 204.80 : x
  2. Step 2: Convert to fraction form
    227.20/313.60 = 204.80/x
  3. Step 3: Cross multiply
    227.20x = 313.60 × 204.80
  4. Step 4: Simplify right side
    227.20x = 64,225.28
  5. Step 5: Solve for x
    x = 64,225.28/227.20
  6. Step 6: Final answer
    x = 282.68

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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.