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Finding the Fourth Proportional to 441.26, 661.53 and 296.90

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Solution

The fourth proportional to 441.26, 661.53 and 296.90 is: 445.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.26 : 661.53 = 296.90 : x
  2. Step 2: Convert to fraction form
    441.26/661.53 = 296.90/x
  3. Step 3: Cross multiply
    441.26x = 661.53 × 296.90
  4. Step 4: Simplify right side
    441.26x = 196,408.26
  5. Step 5: Solve for x
    x = 196,408.26/441.26
  6. Step 6: Final answer
    x = 445.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.