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Finding the Fourth Proportional to 322.08, 480.36 and 276

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Solution

The fourth proportional to 322.08, 480.36 and 276 is: 411.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.08 : 480.36 = 276 : x
  2. Step 2: Convert to fraction form
    322.08/480.36 = 276/x
  3. Step 3: Cross multiply
    322.08x = 480.36 × 276
  4. Step 4: Simplify right side
    322.08x = 132,579.36
  5. Step 5: Solve for x
    x = 132,579.36/322.08
  6. Step 6: Final answer
    x = 411.63

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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.