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Finding the Fourth Proportional to 212.13, 290.97 and 208.69

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Solution

The fourth proportional to 212.13, 290.97 and 208.69 is: 286.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.13 : 290.97 = 208.69 : x
  2. Step 2: Convert to fraction form
    212.13/290.97 = 208.69/x
  3. Step 3: Cross multiply
    212.13x = 290.97 × 208.69
  4. Step 4: Simplify right side
    212.13x = 60,722.53
  5. Step 5: Solve for x
    x = 60,722.53/212.13
  6. Step 6: Final answer
    x = 286.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.