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Finding the Fourth Proportional to 416.97, 625.35 and 211.26

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Solution

The fourth proportional to 416.97, 625.35 and 211.26 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.97 : 625.35 = 211.26 : x
  2. Step 2: Convert to fraction form
    416.97/625.35 = 211.26/x
  3. Step 3: Cross multiply
    416.97x = 625.35 × 211.26
  4. Step 4: Simplify right side
    416.97x = 132,111.44
  5. Step 5: Solve for x
    x = 132,111.44/416.97
  6. Step 6: Final answer
    x = 316.84

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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.