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Finding the Fourth Proportional to 461.59, 636.83 and 295.89

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Solution

The fourth proportional to 461.59, 636.83 and 295.89 is: 408.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.59 : 636.83 = 295.89 : x
  2. Step 2: Convert to fraction form
    461.59/636.83 = 295.89/x
  3. Step 3: Cross multiply
    461.59x = 636.83 × 295.89
  4. Step 4: Simplify right side
    461.59x = 188,435.08
  5. Step 5: Solve for x
    x = 188,435.08/461.59
  6. Step 6: Final answer
    x = 408.23

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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.