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Finding the Fourth Proportional to 194.54, 290.65 and 142.22

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Solution

The fourth proportional to 194.54, 290.65 and 142.22 is: 212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.54 : 290.65 = 142.22 : x
  2. Step 2: Convert to fraction form
    194.54/290.65 = 142.22/x
  3. Step 3: Cross multiply
    194.54x = 290.65 × 142.22
  4. Step 4: Simplify right side
    194.54x = 41,336.24
  5. Step 5: Solve for x
    x = 41,336.24/194.54
  6. Step 6: Final answer
    x = 212.48

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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.