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Finding the Fourth Proportional to 454.22, 683.07 and 361.88

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Solution

The fourth proportional to 454.22, 683.07 and 361.88 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.22 : 683.07 = 361.88 : x
  2. Step 2: Convert to fraction form
    454.22/683.07 = 361.88/x
  3. Step 3: Cross multiply
    454.22x = 683.07 × 361.88
  4. Step 4: Simplify right side
    454.22x = 247,189.37
  5. Step 5: Solve for x
    x = 247,189.37/454.22
  6. Step 6: Final answer
    x = 544.21

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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.