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Finding the Fourth Proportional to 309.73, 427.31 and 204.88

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Solution

The fourth proportional to 309.73, 427.31 and 204.88 is: 282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.73 : 427.31 = 204.88 : x
  2. Step 2: Convert to fraction form
    309.73/427.31 = 204.88/x
  3. Step 3: Cross multiply
    309.73x = 427.31 × 204.88
  4. Step 4: Simplify right side
    309.73x = 87,544.11
  5. Step 5: Solve for x
    x = 87,544.11/309.73
  6. Step 6: Final answer
    x = 282.65

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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.