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Finding the Fourth Proportional to 441.24, 609.30 and 275.73

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Solution

The fourth proportional to 441.24, 609.30 and 275.73 is: 380.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.24 : 609.30 = 275.73 : x
  2. Step 2: Convert to fraction form
    441.24/609.30 = 275.73/x
  3. Step 3: Cross multiply
    441.24x = 609.30 × 275.73
  4. Step 4: Simplify right side
    441.24x = 168,004.37
  5. Step 5: Solve for x
    x = 168,004.37/441.24
  6. Step 6: Final answer
    x = 380.76

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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.