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Finding the Fourth Proportional to 193.94, 290.72 and 142.80

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Solution

The fourth proportional to 193.94, 290.72 and 142.80 is: 214.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.94 : 290.72 = 142.80 : x
  2. Step 2: Convert to fraction form
    193.94/290.72 = 142.80/x
  3. Step 3: Cross multiply
    193.94x = 290.72 × 142.80
  4. Step 4: Simplify right side
    193.94x = 41,514.82
  5. Step 5: Solve for x
    x = 41,514.82/193.94
  6. Step 6: Final answer
    x = 214.06

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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.