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Finding the Fourth Proportional to 461.30, 636.54 and 262.13

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Solution

The fourth proportional to 461.30, 636.54 and 262.13 is: 361.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.30 : 636.54 = 262.13 : x
  2. Step 2: Convert to fraction form
    461.30/636.54 = 262.13/x
  3. Step 3: Cross multiply
    461.30x = 636.54 × 262.13
  4. Step 4: Simplify right side
    461.30x = 166,853.05
  5. Step 5: Solve for x
    x = 166,853.05/461.30
  6. Step 6: Final answer
    x = 361.71

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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.