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Finding the Fourth Proportional to 461.25, 636.53 and 251.42

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Solution

The fourth proportional to 461.25, 636.53 and 251.42 is: 346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.25 : 636.53 = 251.42 : x
  2. Step 2: Convert to fraction form
    461.25/636.53 = 251.42/x
  3. Step 3: Cross multiply
    461.25x = 636.53 × 251.42
  4. Step 4: Simplify right side
    461.25x = 160,036.37
  5. Step 5: Solve for x
    x = 160,036.37/461.25
  6. Step 6: Final answer
    x = 346.96

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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.