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Finding the Fourth Proportional to 193.55, 290.13 and 142.12

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Solution

The fourth proportional to 193.55, 290.13 and 142.12 is: 213.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.55 : 290.13 = 142.12 : x
  2. Step 2: Convert to fraction form
    193.55/290.13 = 142.12/x
  3. Step 3: Cross multiply
    193.55x = 290.13 × 142.12
  4. Step 4: Simplify right side
    193.55x = 41,231.82
  5. Step 5: Solve for x
    x = 41,231.82/193.55
  6. Step 6: Final answer
    x = 213.03

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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.