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Finding the Fourth Proportional to 322.25, 481.02 and 276.89

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Solution

The fourth proportional to 322.25, 481.02 and 276.89 is: 413.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.25 : 481.02 = 276.89 : x
  2. Step 2: Convert to fraction form
    322.25/481.02 = 276.89/x
  3. Step 3: Cross multiply
    322.25x = 481.02 × 276.89
  4. Step 4: Simplify right side
    322.25x = 133,189.63
  5. Step 5: Solve for x
    x = 133,189.63/322.25
  6. Step 6: Final answer
    x = 413.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.