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Finding the Fourth Proportional to 283.60, 422.76 and 268.21

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Solution

The fourth proportional to 283.60, 422.76 and 268.21 is: 399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.60 : 422.76 = 268.21 : x
  2. Step 2: Convert to fraction form
    283.60/422.76 = 268.21/x
  3. Step 3: Cross multiply
    283.60x = 422.76 × 268.21
  4. Step 4: Simplify right side
    283.60x = 113,388.49
  5. Step 5: Solve for x
    x = 113,388.49/283.60
  6. Step 6: Final answer
    x = 399.82

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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.