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Finding the Fourth Proportional to 441.26, 661.41 and 210

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Solution

The fourth proportional to 441.26, 661.41 and 210 is: 314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.26 : 661.41 = 210 : x
  2. Step 2: Convert to fraction form
    441.26/661.41 = 210/x
  3. Step 3: Cross multiply
    441.26x = 661.41 × 210
  4. Step 4: Simplify right side
    441.26x = 138,896.10
  5. Step 5: Solve for x
    x = 138,896.10/441.26
  6. Step 6: Final answer
    x = 314.78

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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.