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Finding the Fourth Proportional to 382.63, 573.13 and 361.33

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Solution

The fourth proportional to 382.63, 573.13 and 361.33 is: 541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.63 : 573.13 = 361.33 : x
  2. Step 2: Convert to fraction form
    382.63/573.13 = 361.33/x
  3. Step 3: Cross multiply
    382.63x = 573.13 × 361.33
  4. Step 4: Simplify right side
    382.63x = 207,089.06
  5. Step 5: Solve for x
    x = 207,089.06/382.63
  6. Step 6: Final answer
    x = 541.23

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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.