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Finding the Fourth Proportional to 822.25, 1,233.38 and 214.25

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Solution

The fourth proportional to 822.25, 1,233.38 and 214.25 is: 321.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.25 : 1,233.38 = 214.25 : x
  2. Step 2: Convert to fraction form
    822.25/1,233.38 = 214.25/x
  3. Step 3: Cross multiply
    822.25x = 1,233.38 × 214.25
  4. Step 4: Simplify right side
    822.25x = 264,250.59
  5. Step 5: Solve for x
    x = 264,250.59/822.25
  6. Step 6: Final answer
    x = 321.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.