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Finding the Fourth Proportional to 396.49, 545.41 and 322.64

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Solution

The fourth proportional to 396.49, 545.41 and 322.64 is: 443.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.49 : 545.41 = 322.64 : x
  2. Step 2: Convert to fraction form
    396.49/545.41 = 322.64/x
  3. Step 3: Cross multiply
    396.49x = 545.41 × 322.64
  4. Step 4: Simplify right side
    396.49x = 175,971.08
  5. Step 5: Solve for x
    x = 175,971.08/396.49
  6. Step 6: Final answer
    x = 443.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.