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Finding the Fourth Proportional to 422.80, 581.53 and 339.73

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Solution

The fourth proportional to 422.80, 581.53 and 339.73 is: 467.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.80 : 581.53 = 339.73 : x
  2. Step 2: Convert to fraction form
    422.80/581.53 = 339.73/x
  3. Step 3: Cross multiply
    422.80x = 581.53 × 339.73
  4. Step 4: Simplify right side
    422.80x = 197,561.52
  5. Step 5: Solve for x
    x = 197,561.52/422.80
  6. Step 6: Final answer
    x = 467.27

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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.