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Finding the Fourth Proportional to 241.76, 361.68 and 202.88

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Solution

The fourth proportional to 241.76, 361.68 and 202.88 is: 303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.76 : 361.68 = 202.88 : x
  2. Step 2: Convert to fraction form
    241.76/361.68 = 202.88/x
  3. Step 3: Cross multiply
    241.76x = 361.68 × 202.88
  4. Step 4: Simplify right side
    241.76x = 73,377.64
  5. Step 5: Solve for x
    x = 73,377.64/241.76
  6. Step 6: Final answer
    x = 303.51

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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.