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Finding the Fourth Proportional to 241.22, 332.82 and 142.98

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Solution

The fourth proportional to 241.22, 332.82 and 142.98 is: 197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 332.82 = 142.98 : x
  2. Step 2: Convert to fraction form
    241.22/332.82 = 142.98/x
  3. Step 3: Cross multiply
    241.22x = 332.82 × 142.98
  4. Step 4: Simplify right side
    241.22x = 47,586.60
  5. Step 5: Solve for x
    x = 47,586.60/241.22
  6. Step 6: Final answer
    x = 197.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.