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Finding the Fourth Proportional to 422.78, 583.43 and 245.74

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Solution

The fourth proportional to 422.78, 583.43 and 245.74 is: 339.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.78 : 583.43 = 245.74 : x
  2. Step 2: Convert to fraction form
    422.78/583.43 = 245.74/x
  3. Step 3: Cross multiply
    422.78x = 583.43 × 245.74
  4. Step 4: Simplify right side
    422.78x = 143,371.24
  5. Step 5: Solve for x
    x = 143,371.24/422.78
  6. Step 6: Final answer
    x = 339.11

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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.