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Finding the Fourth Proportional to 422.46, 582.36 and 334.98

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Solution

The fourth proportional to 422.46, 582.36 and 334.98 is: 461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.46 : 582.36 = 334.98 : x
  2. Step 2: Convert to fraction form
    422.46/582.36 = 334.98/x
  3. Step 3: Cross multiply
    422.46x = 582.36 × 334.98
  4. Step 4: Simplify right side
    422.46x = 195,078.95
  5. Step 5: Solve for x
    x = 195,078.95/422.46
  6. Step 6: Final answer
    x = 461.77

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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.