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Finding the Fourth Proportional to 322.33, 445.02 and 248.51

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Solution

The fourth proportional to 322.33, 445.02 and 248.51 is: 343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.33 : 445.02 = 248.51 : x
  2. Step 2: Convert to fraction form
    322.33/445.02 = 248.51/x
  3. Step 3: Cross multiply
    322.33x = 445.02 × 248.51
  4. Step 4: Simplify right side
    322.33x = 110,591.92
  5. Step 5: Solve for x
    x = 110,591.92/322.33
  6. Step 6: Final answer
    x = 343.10

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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.