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Finding the Fourth Proportional to 322.39, 481.24 and 277.03

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Solution

The fourth proportional to 322.39, 481.24 and 277.03 is: 413.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.39 : 481.24 = 277.03 : x
  2. Step 2: Convert to fraction form
    322.39/481.24 = 277.03/x
  3. Step 3: Cross multiply
    322.39x = 481.24 × 277.03
  4. Step 4: Simplify right side
    322.39x = 133,318.61
  5. Step 5: Solve for x
    x = 133,318.61/322.39
  6. Step 6: Final answer
    x = 413.53

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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.