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Finding the Fourth Proportional to 321.67, 480.16 and 276.31

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Solution

The fourth proportional to 321.67, 480.16 and 276.31 is: 412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.67 : 480.16 = 276.31 : x
  2. Step 2: Convert to fraction form
    321.67/480.16 = 276.31/x
  3. Step 3: Cross multiply
    321.67x = 480.16 × 276.31
  4. Step 4: Simplify right side
    321.67x = 132,673.96
  5. Step 5: Solve for x
    x = 132,673.96/321.67
  6. Step 6: Final answer
    x = 412.45

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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.