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Finding the Fourth Proportional to 322.61, 444.44 and 224.19

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Solution

The fourth proportional to 322.61, 444.44 and 224.19 is: 308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.61 : 444.44 = 224.19 : x
  2. Step 2: Convert to fraction form
    322.61/444.44 = 224.19/x
  3. Step 3: Cross multiply
    322.61x = 444.44 × 224.19
  4. Step 4: Simplify right side
    322.61x = 99,637.88
  5. Step 5: Solve for x
    x = 99,637.88/322.61
  6. Step 6: Final answer
    x = 308.85

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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.