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Finding the Fourth Proportional to 241.98, 361.02 and 221.28

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Solution

The fourth proportional to 241.98, 361.02 and 221.28 is: 330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.98 : 361.02 = 221.28 : x
  2. Step 2: Convert to fraction form
    241.98/361.02 = 221.28/x
  3. Step 3: Cross multiply
    241.98x = 361.02 × 221.28
  4. Step 4: Simplify right side
    241.98x = 79,886.51
  5. Step 5: Solve for x
    x = 79,886.51/241.98
  6. Step 6: Final answer
    x = 330.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.