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Finding the Fourth Proportional to 304.36, 422.97 and 301.02

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Solution

The fourth proportional to 304.36, 422.97 and 301.02 is: 418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.36 : 422.97 = 301.02 : x
  2. Step 2: Convert to fraction form
    304.36/422.97 = 301.02/x
  3. Step 3: Cross multiply
    304.36x = 422.97 × 301.02
  4. Step 4: Simplify right side
    304.36x = 127,321.41
  5. Step 5: Solve for x
    x = 127,321.41/304.36
  6. Step 6: Final answer
    x = 418.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.