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Finding the Fourth Proportional to 418, 627.33 and 201.73

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Solution

The fourth proportional to 418, 627.33 and 201.73 is: 302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 627.33 = 201.73 : x
  2. Step 2: Convert to fraction form
    418/627.33 = 201.73/x
  3. Step 3: Cross multiply
    418x = 627.33 × 201.73
  4. Step 4: Simplify right side
    418x = 126,551.28
  5. Step 5: Solve for x
    x = 126,551.28/418
  6. Step 6: Final answer
    x = 302.75

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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.