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Finding the Fourth Proportional to 441.50, 609.48 and 276.12

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Solution

The fourth proportional to 441.50, 609.48 and 276.12 is: 381.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.50 : 609.48 = 276.12 : x
  2. Step 2: Convert to fraction form
    441.50/609.48 = 276.12/x
  3. Step 3: Cross multiply
    441.50x = 609.48 × 276.12
  4. Step 4: Simplify right side
    441.50x = 168,289.62
  5. Step 5: Solve for x
    x = 168,289.62/441.50
  6. Step 6: Final answer
    x = 381.18

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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.