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Finding the Fourth Proportional to 461.44, 636.37 and 314.27

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Solution

The fourth proportional to 461.44, 636.37 and 314.27 is: 433.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.44 : 636.37 = 314.27 : x
  2. Step 2: Convert to fraction form
    461.44/636.37 = 314.27/x
  3. Step 3: Cross multiply
    461.44x = 636.37 × 314.27
  4. Step 4: Simplify right side
    461.44x = 199,992.00
  5. Step 5: Solve for x
    x = 199,992.00/461.44
  6. Step 6: Final answer
    x = 433.41

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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.