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Finding the Fourth Proportional to 422.55, 582.26 and 311.85

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Solution

The fourth proportional to 422.55, 582.26 and 311.85 is: 429.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.55 : 582.26 = 311.85 : x
  2. Step 2: Convert to fraction form
    422.55/582.26 = 311.85/x
  3. Step 3: Cross multiply
    422.55x = 582.26 × 311.85
  4. Step 4: Simplify right side
    422.55x = 181,576.22
  5. Step 5: Solve for x
    x = 181,576.22/422.55
  6. Step 6: Final answer
    x = 429.72

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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.