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Finding the Fourth Proportional to 283.90, 426.30 and 201.94

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Solution

The fourth proportional to 283.90, 426.30 and 201.94 is: 303.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.90 : 426.30 = 201.94 : x
  2. Step 2: Convert to fraction form
    283.90/426.30 = 201.94/x
  3. Step 3: Cross multiply
    283.90x = 426.30 × 201.94
  4. Step 4: Simplify right side
    283.90x = 86,087.02
  5. Step 5: Solve for x
    x = 86,087.02/283.90
  6. Step 6: Final answer
    x = 303.23

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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.