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Finding the Fourth Proportional to 194.15, 290.93 and 140.09

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Solution

The fourth proportional to 194.15, 290.93 and 140.09 is: 209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.15 : 290.93 = 140.09 : x
  2. Step 2: Convert to fraction form
    194.15/290.93 = 140.09/x
  3. Step 3: Cross multiply
    194.15x = 290.93 × 140.09
  4. Step 4: Simplify right side
    194.15x = 40,754.23
  5. Step 5: Solve for x
    x = 40,754.23/194.15
  6. Step 6: Final answer
    x = 209.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.