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Finding the Fourth Proportional to 461.06, 636.29 and 261.89

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Solution

The fourth proportional to 461.06, 636.29 and 261.89 is: 361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.06 : 636.29 = 261.89 : x
  2. Step 2: Convert to fraction form
    461.06/636.29 = 261.89/x
  3. Step 3: Cross multiply
    461.06x = 636.29 × 261.89
  4. Step 4: Simplify right side
    461.06x = 166,633.50
  5. Step 5: Solve for x
    x = 166,633.50/461.06
  6. Step 6: Final answer
    x = 361.42

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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.