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Finding the Fourth Proportional to 422.05, 632.14 and 216.27

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Solution

The fourth proportional to 422.05, 632.14 and 216.27 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.05 : 632.14 = 216.27 : x
  2. Step 2: Convert to fraction form
    422.05/632.14 = 216.27/x
  3. Step 3: Cross multiply
    422.05x = 632.14 × 216.27
  4. Step 4: Simplify right side
    422.05x = 136,712.92
  5. Step 5: Solve for x
    x = 136,712.92/422.05
  6. Step 6: Final answer
    x = 323.93

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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.