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Finding the Fourth Proportional to 422.78, 583.38 and 245.59

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Solution

The fourth proportional to 422.78, 583.38 and 245.59 is: 338.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 583.38 = 245.59 : x
  2. Step 2: Convert to fraction form
    422.78/583.38 = 245.59/x
  3. Step 3: Cross multiply
    422.78x = 583.38 × 245.59
  4. Step 4: Simplify right side
    422.78x = 143,273.75
  5. Step 5: Solve for x
    x = 143,273.75/422.78
  6. Step 6: Final answer
    x = 338.88

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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.