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Finding the Fourth Proportional to 322.59, 445.20 and 189.81

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Solution

The fourth proportional to 322.59, 445.20 and 189.81 is: 261.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.59 : 445.20 = 189.81 : x
  2. Step 2: Convert to fraction form
    322.59/445.20 = 189.81/x
  3. Step 3: Cross multiply
    322.59x = 445.20 × 189.81
  4. Step 4: Simplify right side
    322.59x = 84,503.41
  5. Step 5: Solve for x
    x = 84,503.41/322.59
  6. Step 6: Final answer
    x = 261.95

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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.