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Finding the Fourth Proportional to 422.24, 632.64 and 299.90

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Solution

The fourth proportional to 422.24, 632.64 and 299.90 is: 449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.24 : 632.64 = 299.90 : x
  2. Step 2: Convert to fraction form
    422.24/632.64 = 299.90/x
  3. Step 3: Cross multiply
    422.24x = 632.64 × 299.90
  4. Step 4: Simplify right side
    422.24x = 189,725.57
  5. Step 5: Solve for x
    x = 189,725.57/422.24
  6. Step 6: Final answer
    x = 449.34

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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.