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Finding the Fourth Proportional to 322.89, 481.99 and 277.53

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Solution

The fourth proportional to 322.89, 481.99 and 277.53 is: 414.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.89 : 481.99 = 277.53 : x
  2. Step 2: Convert to fraction form
    322.89/481.99 = 277.53/x
  3. Step 3: Cross multiply
    322.89x = 481.99 × 277.53
  4. Step 4: Simplify right side
    322.89x = 133,765.99
  5. Step 5: Solve for x
    x = 133,765.99/322.89
  6. Step 6: Final answer
    x = 414.28

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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.