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Finding the Fourth Proportional to 241.22, 363.58 and 228.02

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Solution

The fourth proportional to 241.22, 363.58 and 228.02 is: 343.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 363.58 = 228.02 : x
  2. Step 2: Convert to fraction form
    241.22/363.58 = 228.02/x
  3. Step 3: Cross multiply
    241.22x = 363.58 × 228.02
  4. Step 4: Simplify right side
    241.22x = 82,902.37
  5. Step 5: Solve for x
    x = 82,902.37/241.22
  6. Step 6: Final answer
    x = 343.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.