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Finding the Fourth Proportional to 422.21, 632.41 and 292.82

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Solution

The fourth proportional to 422.21, 632.41 and 292.82 is: 438.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.21 : 632.41 = 292.82 : x
  2. Step 2: Convert to fraction form
    422.21/632.41 = 292.82/x
  3. Step 3: Cross multiply
    422.21x = 632.41 × 292.82
  4. Step 4: Simplify right side
    422.21x = 185,178.40
  5. Step 5: Solve for x
    x = 185,178.40/422.21
  6. Step 6: Final answer
    x = 438.59

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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.