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Finding the Fourth Proportional to 286.12, 428.56 and 204.68

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Solution

The fourth proportional to 286.12, 428.56 and 204.68 is: 306.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.12 : 428.56 = 204.68 : x
  2. Step 2: Convert to fraction form
    286.12/428.56 = 204.68/x
  3. Step 3: Cross multiply
    286.12x = 428.56 × 204.68
  4. Step 4: Simplify right side
    286.12x = 87,717.66
  5. Step 5: Solve for x
    x = 87,717.66/286.12
  6. Step 6: Final answer
    x = 306.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.