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Finding the Fourth Proportional to 422.84, 633.90 and 206.30

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Solution

The fourth proportional to 422.84, 633.90 and 206.30 is: 309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.84 : 633.90 = 206.30 : x
  2. Step 2: Convert to fraction form
    422.84/633.90 = 206.30/x
  3. Step 3: Cross multiply
    422.84x = 633.90 × 206.30
  4. Step 4: Simplify right side
    422.84x = 130,773.57
  5. Step 5: Solve for x
    x = 130,773.57/422.84
  6. Step 6: Final answer
    x = 309.27

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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.