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Finding the Fourth Proportional to 461.10, 636.09 and 304

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Solution

The fourth proportional to 461.10, 636.09 and 304 is: 419.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.10 : 636.09 = 304 : x
  2. Step 2: Convert to fraction form
    461.10/636.09 = 304/x
  3. Step 3: Cross multiply
    461.10x = 636.09 × 304
  4. Step 4: Simplify right side
    461.10x = 193,371.36
  5. Step 5: Solve for x
    x = 193,371.36/461.10
  6. Step 6: Final answer
    x = 419.37

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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.