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Finding the Fourth Proportional to 422.25, 633.62 and 194.25

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Solution

The fourth proportional to 422.25, 633.62 and 194.25 is: 291.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.25 : 633.62 = 194.25 : x
  2. Step 2: Convert to fraction form
    422.25/633.62 = 194.25/x
  3. Step 3: Cross multiply
    422.25x = 633.62 × 194.25
  4. Step 4: Simplify right side
    422.25x = 123,079.71
  5. Step 5: Solve for x
    x = 123,079.71/422.25
  6. Step 6: Final answer
    x = 291.49

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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.