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Finding the Fourth Proportional to 322.19, 444.51 and 197.81

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Solution

The fourth proportional to 322.19, 444.51 and 197.81 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.19 : 444.51 = 197.81 : x
  2. Step 2: Convert to fraction form
    322.19/444.51 = 197.81/x
  3. Step 3: Cross multiply
    322.19x = 444.51 × 197.81
  4. Step 4: Simplify right side
    322.19x = 87,926.30
  5. Step 5: Solve for x
    x = 87,926.30/322.19
  6. Step 6: Final answer
    x = 272.91

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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.