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Finding the Fourth Proportional to 322.44, 482.49 and 270.60

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Solution

The fourth proportional to 322.44, 482.49 and 270.60 is: 404.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.44 : 482.49 = 270.60 : x
  2. Step 2: Convert to fraction form
    322.44/482.49 = 270.60/x
  3. Step 3: Cross multiply
    322.44x = 482.49 × 270.60
  4. Step 4: Simplify right side
    322.44x = 130,561.79
  5. Step 5: Solve for x
    x = 130,561.79/322.44
  6. Step 6: Final answer
    x = 404.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.