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Finding the Fourth Proportional to 194.06, 290 and 142.34

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Solution

The fourth proportional to 194.06, 290 and 142.34 is: 212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.06 : 290 = 142.34 : x
  2. Step 2: Convert to fraction form
    194.06/290 = 142.34/x
  3. Step 3: Cross multiply
    194.06x = 290 × 142.34
  4. Step 4: Simplify right side
    194.06x = 41,278.60
  5. Step 5: Solve for x
    x = 41,278.60/194.06
  6. Step 6: Final answer
    x = 212.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.