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Finding the Fourth Proportional to 309.92, 427.38 and 204.80

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Solution

The fourth proportional to 309.92, 427.38 and 204.80 is: 282.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.92 : 427.38 = 204.80 : x
  2. Step 2: Convert to fraction form
    309.92/427.38 = 204.80/x
  3. Step 3: Cross multiply
    309.92x = 427.38 × 204.80
  4. Step 4: Simplify right side
    309.92x = 87,527.42
  5. Step 5: Solve for x
    x = 87,527.42/309.92
  6. Step 6: Final answer
    x = 282.42

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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.