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Finding the Fourth Proportional to 322.69, 444.92 and 272.81

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Solution

The fourth proportional to 322.69, 444.92 and 272.81 is: 376.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.69 : 444.92 = 272.81 : x
  2. Step 2: Convert to fraction form
    322.69/444.92 = 272.81/x
  3. Step 3: Cross multiply
    322.69x = 444.92 × 272.81
  4. Step 4: Simplify right side
    322.69x = 121,378.75
  5. Step 5: Solve for x
    x = 121,378.75/322.69
  6. Step 6: Final answer
    x = 376.15

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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.