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Finding the Fourth Proportional to 322.64, 448.38 and 319.12

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Solution

The fourth proportional to 322.64, 448.38 and 319.12 is: 443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.64 : 448.38 = 319.12 : x
  2. Step 2: Convert to fraction form
    322.64/448.38 = 319.12/x
  3. Step 3: Cross multiply
    322.64x = 448.38 × 319.12
  4. Step 4: Simplify right side
    322.64x = 143,087.03
  5. Step 5: Solve for x
    x = 143,087.03/322.64
  6. Step 6: Final answer
    x = 443.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.