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Finding the Fourth Proportional to 361.64, 543 and 350.84

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Solution

The fourth proportional to 361.64, 543 and 350.84 is: 526.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.64 : 543 = 350.84 : x
  2. Step 2: Convert to fraction form
    361.64/543 = 350.84/x
  3. Step 3: Cross multiply
    361.64x = 543 × 350.84
  4. Step 4: Simplify right side
    361.64x = 190,506.12
  5. Step 5: Solve for x
    x = 190,506.12/361.64
  6. Step 6: Final answer
    x = 526.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.