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Finding the Fourth Proportional to 309.68, 427.44 and 204.78

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Solution

The fourth proportional to 309.68, 427.44 and 204.78 is: 282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.68 : 427.44 = 204.78 : x
  2. Step 2: Convert to fraction form
    309.68/427.44 = 204.78/x
  3. Step 3: Cross multiply
    309.68x = 427.44 × 204.78
  4. Step 4: Simplify right side
    309.68x = 87,531.16
  5. Step 5: Solve for x
    x = 87,531.16/309.68
  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.