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Finding the Fourth Proportional to 193.06, 290.71 and 139.33

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Solution

The fourth proportional to 193.06, 290.71 and 139.33 is: 209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 290.71 = 139.33 : x
  2. Step 2: Convert to fraction form
    193.06/290.71 = 139.33/x
  3. Step 3: Cross multiply
    193.06x = 290.71 × 139.33
  4. Step 4: Simplify right side
    193.06x = 40,504.62
  5. Step 5: Solve for x
    x = 40,504.62/193.06
  6. Step 6: Final answer
    x = 209.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.