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Finding the Fourth Proportional to 361.89, 543.21 and 294.22

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Solution

The fourth proportional to 361.89, 543.21 and 294.22 is: 441.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 543.21 = 294.22 : x
  2. Step 2: Convert to fraction form
    361.89/543.21 = 294.22/x
  3. Step 3: Cross multiply
    361.89x = 543.21 × 294.22
  4. Step 4: Simplify right side
    361.89x = 159,823.25
  5. Step 5: Solve for x
    x = 159,823.25/361.89
  6. Step 6: Final answer
    x = 441.63

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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.