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Finding the Fourth Proportional to 422.85, 583.09 and 334.18

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Solution

The fourth proportional to 422.85, 583.09 and 334.18 is: 460.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.85 : 583.09 = 334.18 : x
  2. Step 2: Convert to fraction form
    422.85/583.09 = 334.18/x
  3. Step 3: Cross multiply
    422.85x = 583.09 × 334.18
  4. Step 4: Simplify right side
    422.85x = 194,857.02
  5. Step 5: Solve for x
    x = 194,857.02/422.85
  6. Step 6: Final answer
    x = 460.82

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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.