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Finding the Fourth Proportional to 422.48, 583.04 and 245.44

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Solution

The fourth proportional to 422.48, 583.04 and 245.44 is: 338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.48 : 583.04 = 245.44 : x
  2. Step 2: Convert to fraction form
    422.48/583.04 = 245.44/x
  3. Step 3: Cross multiply
    422.48x = 583.04 × 245.44
  4. Step 4: Simplify right side
    422.48x = 143,101.34
  5. Step 5: Solve for x
    x = 143,101.34/422.48
  6. Step 6: Final answer
    x = 338.72

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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.