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Finding the Fourth Proportional to 322.80, 445.62 and 212.28

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Solution

The fourth proportional to 322.80, 445.62 and 212.28 is: 293.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.80 : 445.62 = 212.28 : x
  2. Step 2: Convert to fraction form
    322.80/445.62 = 212.28/x
  3. Step 3: Cross multiply
    322.80x = 445.62 × 212.28
  4. Step 4: Simplify right side
    322.80x = 94,596.21
  5. Step 5: Solve for x
    x = 94,596.21/322.80
  6. Step 6: Final answer
    x = 293.05

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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.