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Finding the Fourth Proportional to 422.84, 583.80 and 306.20

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Solution

The fourth proportional to 422.84, 583.80 and 306.20 is: 422.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.84 : 583.80 = 306.20 : x
  2. Step 2: Convert to fraction form
    422.84/583.80 = 306.20/x
  3. Step 3: Cross multiply
    422.84x = 583.80 × 306.20
  4. Step 4: Simplify right side
    422.84x = 178,759.56
  5. Step 5: Solve for x
    x = 178,759.56/422.84
  6. Step 6: Final answer
    x = 422.76

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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.