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Finding the Fourth Proportional to 441.12, 661.47 and 209.94

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Solution

The fourth proportional to 441.12, 661.47 and 209.94 is: 314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.12 : 661.47 = 209.94 : x
  2. Step 2: Convert to fraction form
    441.12/661.47 = 209.94/x
  3. Step 3: Cross multiply
    441.12x = 661.47 × 209.94
  4. Step 4: Simplify right side
    441.12x = 138,869.01
  5. Step 5: Solve for x
    x = 138,869.01/441.12
  6. Step 6: Final answer
    x = 314.81

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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.