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Finding the Fourth Proportional to 241.06, 361.46 and 84.81

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Solution

The fourth proportional to 241.06, 361.46 and 84.81 is: 127.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.06 : 361.46 = 84.81 : x
  2. Step 2: Convert to fraction form
    241.06/361.46 = 84.81/x
  3. Step 3: Cross multiply
    241.06x = 361.46 × 84.81
  4. Step 4: Simplify right side
    241.06x = 30,655.42
  5. Step 5: Solve for x
    x = 30,655.42/241.06
  6. Step 6: Final answer
    x = 127.17

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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.