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Finding the Fourth Proportional to 461.39, 635.97 and 361.64

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Solution

The fourth proportional to 461.39, 635.97 and 361.64 is: 498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.39 : 635.97 = 361.64 : x
  2. Step 2: Convert to fraction form
    461.39/635.97 = 361.64/x
  3. Step 3: Cross multiply
    461.39x = 635.97 × 361.64
  4. Step 4: Simplify right side
    461.39x = 229,992.19
  5. Step 5: Solve for x
    x = 229,992.19/461.39
  6. Step 6: Final answer
    x = 498.48

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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.