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Finding the Fourth Proportional to 283.14, 422.79 and 281.43

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Solution

The fourth proportional to 283.14, 422.79 and 281.43 is: 420.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.14 : 422.79 = 281.43 : x
  2. Step 2: Convert to fraction form
    283.14/422.79 = 281.43/x
  3. Step 3: Cross multiply
    283.14x = 422.79 × 281.43
  4. Step 4: Simplify right side
    283.14x = 118,983.68
  5. Step 5: Solve for x
    x = 118,983.68/283.14
  6. Step 6: Final answer
    x = 420.24

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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.