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Finding the Fourth Proportional to 396.45, 544.64 and 322.56

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Solution

The fourth proportional to 396.45, 544.64 and 322.56 is: 443.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.45 : 544.64 = 322.56 : x
  2. Step 2: Convert to fraction form
    396.45/544.64 = 322.56/x
  3. Step 3: Cross multiply
    396.45x = 544.64 × 322.56
  4. Step 4: Simplify right side
    396.45x = 175,677.47
  5. Step 5: Solve for x
    x = 175,677.47/396.45
  6. Step 6: Final answer
    x = 443.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.