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Finding the Fourth Proportional to 382.98, 574.47 and 267.09

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Solution

The fourth proportional to 382.98, 574.47 and 267.09 is: 400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.98 : 574.47 = 267.09 : x
  2. Step 2: Convert to fraction form
    382.98/574.47 = 267.09/x
  3. Step 3: Cross multiply
    382.98x = 574.47 × 267.09
  4. Step 4: Simplify right side
    382.98x = 153,435.19
  5. Step 5: Solve for x
    x = 153,435.19/382.98
  6. Step 6: Final answer
    x = 400.64

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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.