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Finding the Fourth Proportional to 422.94, 634.86 and 240.69

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Solution

The fourth proportional to 422.94, 634.86 and 240.69 is: 361.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.94 : 634.86 = 240.69 : x
  2. Step 2: Convert to fraction form
    422.94/634.86 = 240.69/x
  3. Step 3: Cross multiply
    422.94x = 634.86 × 240.69
  4. Step 4: Simplify right side
    422.94x = 152,804.45
  5. Step 5: Solve for x
    x = 152,804.45/422.94
  6. Step 6: Final answer
    x = 361.29

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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.