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Finding the Fourth Proportional to 422.89, 635.40 and 268.89

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Solution

The fourth proportional to 422.89, 635.40 and 268.89 is: 404.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.89 : 635.40 = 268.89 : x
  2. Step 2: Convert to fraction form
    422.89/635.40 = 268.89/x
  3. Step 3: Cross multiply
    422.89x = 635.40 × 268.89
  4. Step 4: Simplify right side
    422.89x = 170,852.71
  5. Step 5: Solve for x
    x = 170,852.71/422.89
  6. Step 6: Final answer
    x = 404.01

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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.