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Finding the Fourth Proportional to 461.25, 636.13 and 295.41

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Solution

The fourth proportional to 461.25, 636.13 and 295.41 is: 407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 636.13 = 295.41 : x
  2. Step 2: Convert to fraction form
    461.25/636.13 = 295.41/x
  3. Step 3: Cross multiply
    461.25x = 636.13 × 295.41
  4. Step 4: Simplify right side
    461.25x = 187,919.16
  5. Step 5: Solve for x
    x = 187,919.16/461.25
  6. Step 6: Final answer
    x = 407.41

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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.