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Finding the Fourth Proportional to 419.33, 627.77 and 311.60

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Solution

The fourth proportional to 419.33, 627.77 and 311.60 is: 466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.33 : 627.77 = 311.60 : x
  2. Step 2: Convert to fraction form
    419.33/627.77 = 311.60/x
  3. Step 3: Cross multiply
    419.33x = 627.77 × 311.60
  4. Step 4: Simplify right side
    419.33x = 195,608.44
  5. Step 5: Solve for x
    x = 195,608.44/419.33
  6. Step 6: Final answer
    x = 466.48

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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.