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Finding the Fourth Proportional to 322.90, 445.66 and 212.30

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Solution

The fourth proportional to 322.90, 445.66 and 212.30 is: 293.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.90 : 445.66 = 212.30 : x
  2. Step 2: Convert to fraction form
    322.90/445.66 = 212.30/x
  3. Step 3: Cross multiply
    322.90x = 445.66 × 212.30
  4. Step 4: Simplify right side
    322.90x = 94,613.62
  5. Step 5: Solve for x
    x = 94,613.62/322.90
  6. Step 6: Final answer
    x = 293.01

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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.