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Finding the Fourth Proportional to 309.69, 427.25 and 204.83

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Solution

The fourth proportional to 309.69, 427.25 and 204.83 is: 282.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.69 : 427.25 = 204.83 : x
  2. Step 2: Convert to fraction form
    309.69/427.25 = 204.83/x
  3. Step 3: Cross multiply
    309.69x = 427.25 × 204.83
  4. Step 4: Simplify right side
    309.69x = 87,513.24
  5. Step 5: Solve for x
    x = 87,513.24/309.69
  6. Step 6: Final answer
    x = 282.58

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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.