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Finding the Fourth Proportional to 319.83, 441.21 and 209.31

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Solution

The fourth proportional to 319.83, 441.21 and 209.31 is: 288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.83 : 441.21 = 209.31 : x
  2. Step 2: Convert to fraction form
    319.83/441.21 = 209.31/x
  3. Step 3: Cross multiply
    319.83x = 441.21 × 209.31
  4. Step 4: Simplify right side
    319.83x = 92,349.67
  5. Step 5: Solve for x
    x = 92,349.67/319.83
  6. Step 6: Final answer
    x = 288.75

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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.