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Finding the Fourth Proportional to 422.39, 583.67 and 368.26

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Solution

The fourth proportional to 422.39, 583.67 and 368.26 is: 508.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.39 : 583.67 = 368.26 : x
  2. Step 2: Convert to fraction form
    422.39/583.67 = 368.26/x
  3. Step 3: Cross multiply
    422.39x = 583.67 × 368.26
  4. Step 4: Simplify right side
    422.39x = 214,942.31
  5. Step 5: Solve for x
    x = 214,942.31/422.39
  6. Step 6: Final answer
    x = 508.87

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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.