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Finding the Fourth Proportional to 441.27, 609.40 and 301.09

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Solution

The fourth proportional to 441.27, 609.40 and 301.09 is: 415.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.27 : 609.40 = 301.09 : x
  2. Step 2: Convert to fraction form
    441.27/609.40 = 301.09/x
  3. Step 3: Cross multiply
    441.27x = 609.40 × 301.09
  4. Step 4: Simplify right side
    441.27x = 183,485.11
  5. Step 5: Solve for x
    x = 183,485.11/441.27
  6. Step 6: Final answer
    x = 415.81

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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.