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Finding the Fourth Proportional to 286.26, 428.94 and 193.50

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Solution

The fourth proportional to 286.26, 428.94 and 193.50 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.26 : 428.94 = 193.50 : x
  2. Step 2: Convert to fraction form
    286.26/428.94 = 193.50/x
  3. Step 3: Cross multiply
    286.26x = 428.94 × 193.50
  4. Step 4: Simplify right side
    286.26x = 82,999.89
  5. Step 5: Solve for x
    x = 82,999.89/286.26
  6. Step 6: Final answer
    x = 289.95

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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.