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Finding the Fourth Proportional to 461.08, 636.62 and 305.92

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Solution

The fourth proportional to 461.08, 636.62 and 305.92 is: 422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.08 : 636.62 = 305.92 : x
  2. Step 2: Convert to fraction form
    461.08/636.62 = 305.92/x
  3. Step 3: Cross multiply
    461.08x = 636.62 × 305.92
  4. Step 4: Simplify right side
    461.08x = 194,754.79
  5. Step 5: Solve for x
    x = 194,754.79/461.08
  6. Step 6: Final answer
    x = 422.39

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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.