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Finding the Fourth Proportional to 322.30, 444.78 and 189.62

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Solution

The fourth proportional to 322.30, 444.78 and 189.62 is: 261.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.30 : 444.78 = 189.62 : x
  2. Step 2: Convert to fraction form
    322.30/444.78 = 189.62/x
  3. Step 3: Cross multiply
    322.30x = 444.78 × 189.62
  4. Step 4: Simplify right side
    322.30x = 84,339.18
  5. Step 5: Solve for x
    x = 84,339.18/322.30
  6. Step 6: Final answer
    x = 261.68

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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.