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Finding the Fourth Proportional to 1,334.91, 2,002.21 and 361.09

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Solution

The fourth proportional to 1,334.91, 2,002.21 and 361.09 is: 541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.91 : 2,002.21 = 361.09 : x
  2. Step 2: Convert to fraction form
    1,334.91/2,002.21 = 361.09/x
  3. Step 3: Cross multiply
    1,334.91x = 2,002.21 × 361.09
  4. Step 4: Simplify right side
    1,334.91x = 722,980.96
  5. Step 5: Solve for x
    x = 722,980.96/1,334.91
  6. Step 6: Final answer
    x = 541.59

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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.