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Finding the Fourth Proportional to 319.71, 441.09 and 209.25

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Solution

The fourth proportional to 319.71, 441.09 and 209.25 is: 288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.71 : 441.09 = 209.25 : x
  2. Step 2: Convert to fraction form
    319.71/441.09 = 209.25/x
  3. Step 3: Cross multiply
    319.71x = 441.09 × 209.25
  4. Step 4: Simplify right side
    319.71x = 92,298.66
  5. Step 5: Solve for x
    x = 92,298.66/319.71
  6. Step 6: Final answer
    x = 288.69

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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.