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Finding the Fourth Proportional to 422.21, 583.00 and 348.98

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Solution

The fourth proportional to 422.21, 583.00 and 348.98 is: 481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 583.00 = 348.98 : x
  2. Step 2: Convert to fraction form
    422.21/583.00 = 348.98/x
  3. Step 3: Cross multiply
    422.21x = 583.00 × 348.98
  4. Step 4: Simplify right side
    422.21x = 203,451.55
  5. Step 5: Solve for x
    x = 203,451.55/422.21
  6. Step 6: Final answer
    x = 481.87

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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.