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Finding the Fourth Proportional to 322.74, 481.80 and 297

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Solution

The fourth proportional to 322.74, 481.80 and 297 is: 443.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.74 : 481.80 = 297 : x
  2. Step 2: Convert to fraction form
    322.74/481.80 = 297/x
  3. Step 3: Cross multiply
    322.74x = 481.80 × 297
  4. Step 4: Simplify right side
    322.74x = 143,094.60
  5. Step 5: Solve for x
    x = 143,094.60/322.74
  6. Step 6: Final answer
    x = 443.37

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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.