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Finding the Fourth Proportional to 422.80, 583.16 and 306.16

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Solution

The fourth proportional to 422.80, 583.16 and 306.16 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 583.16 = 306.16 : x
  2. Step 2: Convert to fraction form
    422.80/583.16 = 306.16/x
  3. Step 3: Cross multiply
    422.80x = 583.16 × 306.16
  4. Step 4: Simplify right side
    422.80x = 178,540.27
  5. Step 5: Solve for x
    x = 178,540.27/422.80
  6. Step 6: Final answer
    x = 422.28

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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.