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Finding the Fourth Proportional to 488.26, 673.36 and 322.41

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Solution

The fourth proportional to 488.26, 673.36 and 322.41 is: 444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.26 : 673.36 = 322.41 : x
  2. Step 2: Convert to fraction form
    488.26/673.36 = 322.41/x
  3. Step 3: Cross multiply
    488.26x = 673.36 × 322.41
  4. Step 4: Simplify right side
    488.26x = 217,099.72
  5. Step 5: Solve for x
    x = 217,099.72/488.26
  6. Step 6: Final answer
    x = 444.64

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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.