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Finding the Fourth Proportional to 368.98, 509.09 and 209.44

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Solution

The fourth proportional to 368.98, 509.09 and 209.44 is: 288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.98 : 509.09 = 209.44 : x
  2. Step 2: Convert to fraction form
    368.98/509.09 = 209.44/x
  3. Step 3: Cross multiply
    368.98x = 509.09 × 209.44
  4. Step 4: Simplify right side
    368.98x = 106,620.54
  5. Step 5: Solve for x
    x = 106,620.54/368.98
  6. Step 6: Final answer
    x = 288.96

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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.