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Finding the Fourth Proportional to 422.64, 584.28 and 318.96

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Solution

The fourth proportional to 422.64, 584.28 and 318.96 is: 440.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.64 : 584.28 = 318.96 : x
  2. Step 2: Convert to fraction form
    422.64/584.28 = 318.96/x
  3. Step 3: Cross multiply
    422.64x = 584.28 × 318.96
  4. Step 4: Simplify right side
    422.64x = 186,361.95
  5. Step 5: Solve for x
    x = 186,361.95/422.64
  6. Step 6: Final answer
    x = 440.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.