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Finding the Fourth Proportional to 441.45, 661.25 and 294.59

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Solution

The fourth proportional to 441.45, 661.25 and 294.59 is: 441.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.45 : 661.25 = 294.59 : x
  2. Step 2: Convert to fraction form
    441.45/661.25 = 294.59/x
  3. Step 3: Cross multiply
    441.45x = 661.25 × 294.59
  4. Step 4: Simplify right side
    441.45x = 194,800.03
  5. Step 5: Solve for x
    x = 194,800.03/441.45
  6. Step 6: Final answer
    x = 441.27

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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.