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Finding the Fourth Proportional to 422.24, 583.20 and 323.76

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Solution

The fourth proportional to 422.24, 583.20 and 323.76 is: 447.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 583.20 = 323.76 : x
  2. Step 2: Convert to fraction form
    422.24/583.20 = 323.76/x
  3. Step 3: Cross multiply
    422.24x = 583.20 × 323.76
  4. Step 4: Simplify right side
    422.24x = 188,816.83
  5. Step 5: Solve for x
    x = 188,816.83/422.24
  6. Step 6: Final answer
    x = 447.18

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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.