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Finding the Fourth Proportional to 304.04, 422.40 and 301.08

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Solution

The fourth proportional to 304.04, 422.40 and 301.08 is: 418.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.04 : 422.40 = 301.08 : x
  2. Step 2: Convert to fraction form
    304.04/422.40 = 301.08/x
  3. Step 3: Cross multiply
    304.04x = 422.40 × 301.08
  4. Step 4: Simplify right side
    304.04x = 127,176.19
  5. Step 5: Solve for x
    x = 127,176.19/304.04
  6. Step 6: Final answer
    x = 418.29

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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.