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Finding the Fourth Proportional to 304.39, 422.88 and 301.55

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Solution

The fourth proportional to 304.39, 422.88 and 301.55 is: 418.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.39 : 422.88 = 301.55 : x
  2. Step 2: Convert to fraction form
    304.39/422.88 = 301.55/x
  3. Step 3: Cross multiply
    304.39x = 422.88 × 301.55
  4. Step 4: Simplify right side
    304.39x = 127,516.22
  5. Step 5: Solve for x
    x = 127,516.22/304.39
  6. Step 6: Final answer
    x = 418.92

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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.