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Finding the Fourth Proportional to 322.48, 444.82 and 206.12

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Solution

The fourth proportional to 322.48, 444.82 and 206.12 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.48 : 444.82 = 206.12 : x
  2. Step 2: Convert to fraction form
    322.48/444.82 = 206.12/x
  3. Step 3: Cross multiply
    322.48x = 444.82 × 206.12
  4. Step 4: Simplify right side
    322.48x = 91,686.30
  5. Step 5: Solve for x
    x = 91,686.30/322.48
  6. Step 6: Final answer
    x = 284.32

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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.