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Finding the Fourth Proportional to 286.30, 428.65 and 183.33

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Solution

The fourth proportional to 286.30, 428.65 and 183.33 is: 274.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.30 : 428.65 = 183.33 : x
  2. Step 2: Convert to fraction form
    286.30/428.65 = 183.33/x
  3. Step 3: Cross multiply
    286.30x = 428.65 × 183.33
  4. Step 4: Simplify right side
    286.30x = 78,584.40
  5. Step 5: Solve for x
    x = 78,584.40/286.30
  6. Step 6: Final answer
    x = 274.48

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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.