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Finding the Fourth Proportional to 422.86, 634.21 and 114.67

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Solution

The fourth proportional to 422.86, 634.21 and 114.67 is: 171.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.86 : 634.21 = 114.67 : x
  2. Step 2: Convert to fraction form
    422.86/634.21 = 114.67/x
  3. Step 3: Cross multiply
    422.86x = 634.21 × 114.67
  4. Step 4: Simplify right side
    422.86x = 72,723.28
  5. Step 5: Solve for x
    x = 72,723.28/422.86
  6. Step 6: Final answer
    x = 171.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.