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Finding the Fourth Proportional to 209.49, 290.33 and 206.56

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Solution

The fourth proportional to 209.49, 290.33 and 206.56 is: 286.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.49 : 290.33 = 206.56 : x
  2. Step 2: Convert to fraction form
    209.49/290.33 = 206.56/x
  3. Step 3: Cross multiply
    209.49x = 290.33 × 206.56
  4. Step 4: Simplify right side
    209.49x = 59,968.81
  5. Step 5: Solve for x
    x = 59,968.81/209.49
  6. Step 6: Final answer
    x = 286.26

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.