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Finding the Fourth Proportional to 321.84, 444.60 and 305.64

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Solution

The fourth proportional to 321.84, 444.60 and 305.64 is: 422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.84 : 444.60 = 305.64 : x
  2. Step 2: Convert to fraction form
    321.84/444.60 = 305.64/x
  3. Step 3: Cross multiply
    321.84x = 444.60 × 305.64
  4. Step 4: Simplify right side
    321.84x = 135,887.54
  5. Step 5: Solve for x
    x = 135,887.54/321.84
  6. Step 6: Final answer
    x = 422.22

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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.