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Finding the Fourth Proportional to 422.21, 632.61 and 299.87

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Solution

The fourth proportional to 422.21, 632.61 and 299.87 is: 449.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 632.61 = 299.87 : x
  2. Step 2: Convert to fraction form
    422.21/632.61 = 299.87/x
  3. Step 3: Cross multiply
    422.21x = 632.61 × 299.87
  4. Step 4: Simplify right side
    422.21x = 189,702.34
  5. Step 5: Solve for x
    x = 189,702.34/422.21
  6. Step 6: Final answer
    x = 449.31

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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.