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Finding the Fourth Proportional to 422.09, 632.91 and 190.87

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Solution

The fourth proportional to 422.09, 632.91 and 190.87 is: 286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.09 : 632.91 = 190.87 : x
  2. Step 2: Convert to fraction form
    422.09/632.91 = 190.87/x
  3. Step 3: Cross multiply
    422.09x = 632.91 × 190.87
  4. Step 4: Simplify right side
    422.09x = 120,800.37
  5. Step 5: Solve for x
    x = 120,800.37/422.09
  6. Step 6: Final answer
    x = 286.20

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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.