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Finding the Fourth Proportional to 322.02, 443.52 and 248.19

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Solution

The fourth proportional to 322.02, 443.52 and 248.19 is: 341.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.02 : 443.52 = 248.19 : x
  2. Step 2: Convert to fraction form
    322.02/443.52 = 248.19/x
  3. Step 3: Cross multiply
    322.02x = 443.52 × 248.19
  4. Step 4: Simplify right side
    322.02x = 110,077.23
  5. Step 5: Solve for x
    x = 110,077.23/322.02
  6. Step 6: Final answer
    x = 341.83

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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.