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Finding the Fourth Proportional to 441.38, 661.41 and 246.15

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Solution

The fourth proportional to 441.38, 661.41 and 246.15 is: 368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.38 : 661.41 = 246.15 : x
  2. Step 2: Convert to fraction form
    441.38/661.41 = 246.15/x
  3. Step 3: Cross multiply
    441.38x = 661.41 × 246.15
  4. Step 4: Simplify right side
    441.38x = 162,806.07
  5. Step 5: Solve for x
    x = 162,806.07/441.38
  6. Step 6: Final answer
    x = 368.86

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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.