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Finding the Fourth Proportional to 416.67, 627.50 and 363.21

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Solution

The fourth proportional to 416.67, 627.50 and 363.21 is: 546.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.67 : 627.50 = 363.21 : x
  2. Step 2: Convert to fraction form
    416.67/627.50 = 363.21/x
  3. Step 3: Cross multiply
    416.67x = 627.50 × 363.21
  4. Step 4: Simplify right side
    416.67x = 227,912.46
  5. Step 5: Solve for x
    x = 227,912.46/416.67
  6. Step 6: Final answer
    x = 546.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.