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Finding the Fourth Proportional to 361.09, 540.89 and 214.39

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Solution

The fourth proportional to 361.09, 540.89 and 214.39 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.09 : 540.89 = 214.39 : x
  2. Step 2: Convert to fraction form
    361.09/540.89 = 214.39/x
  3. Step 3: Cross multiply
    361.09x = 540.89 × 214.39
  4. Step 4: Simplify right side
    361.09x = 115,957.63
  5. Step 5: Solve for x
    x = 115,957.63/361.09
  6. Step 6: Final answer
    x = 321.14

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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.