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Finding the Fourth Proportional to 322.72, 481.04 and 296.80

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Solution

The fourth proportional to 322.72, 481.04 and 296.80 is: 442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.72 : 481.04 = 296.80 : x
  2. Step 2: Convert to fraction form
    322.72/481.04 = 296.80/x
  3. Step 3: Cross multiply
    322.72x = 481.04 × 296.80
  4. Step 4: Simplify right side
    322.72x = 142,772.67
  5. Step 5: Solve for x
    x = 142,772.67/322.72
  6. Step 6: Final answer
    x = 442.40

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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.