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Finding the Fourth Proportional to 319.52, 441.08 and 209

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Solution

The fourth proportional to 319.52, 441.08 and 209 is: 288.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 441.08 = 209 : x
  2. Step 2: Convert to fraction form
    319.52/441.08 = 209/x
  3. Step 3: Cross multiply
    319.52x = 441.08 × 209
  4. Step 4: Simplify right side
    319.52x = 92,185.72
  5. Step 5: Solve for x
    x = 92,185.72/319.52
  6. Step 6: Final answer
    x = 288.51

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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.