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Finding the Fourth Proportional to 460.22, 634.41 and 294.38

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Solution

The fourth proportional to 460.22, 634.41 and 294.38 is: 405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.22 : 634.41 = 294.38 : x
  2. Step 2: Convert to fraction form
    460.22/634.41 = 294.38/x
  3. Step 3: Cross multiply
    460.22x = 634.41 × 294.38
  4. Step 4: Simplify right side
    460.22x = 186,757.62
  5. Step 5: Solve for x
    x = 186,757.62/460.22
  6. Step 6: Final answer
    x = 405.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.