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Finding the Fourth Proportional to 196.62, 294.66 and 142.26

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Solution

The fourth proportional to 196.62, 294.66 and 142.26 is: 213.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.62 : 294.66 = 142.26 : x
  2. Step 2: Convert to fraction form
    196.62/294.66 = 142.26/x
  3. Step 3: Cross multiply
    196.62x = 294.66 × 142.26
  4. Step 4: Simplify right side
    196.62x = 41,918.33
  5. Step 5: Solve for x
    x = 41,918.33/196.62
  6. Step 6: Final answer
    x = 213.19

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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.