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Finding the Fourth Proportional to 441.38, 609.11 and 266.72

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Solution

The fourth proportional to 441.38, 609.11 and 266.72 is: 368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 609.11 = 266.72 : x
  2. Step 2: Convert to fraction form
    441.38/609.11 = 266.72/x
  3. Step 3: Cross multiply
    441.38x = 609.11 × 266.72
  4. Step 4: Simplify right side
    441.38x = 162,457.44
  5. Step 5: Solve for x
    x = 162,457.44/441.38
  6. Step 6: Final answer
    x = 368.07

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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.