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Finding the Fourth Proportional to 322.58, 445.10 and 189.78

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Solution

The fourth proportional to 322.58, 445.10 and 189.78 is: 261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.58 : 445.10 = 189.78 : x
  2. Step 2: Convert to fraction form
    322.58/445.10 = 189.78/x
  3. Step 3: Cross multiply
    322.58x = 445.10 × 189.78
  4. Step 4: Simplify right side
    322.58x = 84,471.08
  5. Step 5: Solve for x
    x = 84,471.08/322.58
  6. Step 6: Final answer
    x = 261.86

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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.