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Finding the Fourth Proportional to 319.88, 441.33 and 209.50

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Solution

The fourth proportional to 319.88, 441.33 and 209.50 is: 289.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 441.33 = 209.50 : x
  2. Step 2: Convert to fraction form
    319.88/441.33 = 209.50/x
  3. Step 3: Cross multiply
    319.88x = 441.33 × 209.50
  4. Step 4: Simplify right side
    319.88x = 92,458.64
  5. Step 5: Solve for x
    x = 92,458.64/319.88
  6. Step 6: Final answer
    x = 289.04

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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.