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Finding the Fourth Proportional to 461.22, 636.12 and 295.30

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Solution

The fourth proportional to 461.22, 636.12 and 295.30 is: 407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.22 : 636.12 = 295.30 : x
  2. Step 2: Convert to fraction form
    461.22/636.12 = 295.30/x
  3. Step 3: Cross multiply
    461.22x = 636.12 × 295.30
  4. Step 4: Simplify right side
    461.22x = 187,846.24
  5. Step 5: Solve for x
    x = 187,846.24/461.22
  6. Step 6: Final answer
    x = 407.28

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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.