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Finding the Fourth Proportional to 320, 441.72 and 209.57

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Solution

The fourth proportional to 320, 441.72 and 209.57 is: 289.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    320 : 441.72 = 209.57 : x
  2. Step 2: Convert to fraction form
    320/441.72 = 209.57/x
  3. Step 3: Cross multiply
    320x = 441.72 × 209.57
  4. Step 4: Simplify right side
    320x = 92,571.26
  5. Step 5: Solve for x
    x = 92,571.26/320
  6. Step 6: Final answer
    x = 289.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.