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Finding the Fourth Proportional to 322.04, 443.58 and 280.52

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Solution

The fourth proportional to 322.04, 443.58 and 280.52 is: 386.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.04 : 443.58 = 280.52 : x
  2. Step 2: Convert to fraction form
    322.04/443.58 = 280.52/x
  3. Step 3: Cross multiply
    322.04x = 443.58 × 280.52
  4. Step 4: Simplify right side
    322.04x = 124,433.06
  5. Step 5: Solve for x
    x = 124,433.06/322.04
  6. Step 6: Final answer
    x = 386.39

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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.