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Finding the Fourth Proportional to 283.26, 422.43 and 246.90

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Solution

The fourth proportional to 283.26, 422.43 and 246.90 is: 368.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.26 : 422.43 = 246.90 : x
  2. Step 2: Convert to fraction form
    283.26/422.43 = 246.90/x
  3. Step 3: Cross multiply
    283.26x = 422.43 × 246.90
  4. Step 4: Simplify right side
    283.26x = 104,297.97
  5. Step 5: Solve for x
    x = 104,297.97/283.26
  6. Step 6: Final answer
    x = 368.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.