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Finding the Fourth Proportional to 461.10, 636.30 and 264.61

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Solution

The fourth proportional to 461.10, 636.30 and 264.61 is: 365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.10 : 636.30 = 264.61 : x
  2. Step 2: Convert to fraction form
    461.10/636.30 = 264.61/x
  3. Step 3: Cross multiply
    461.10x = 636.30 × 264.61
  4. Step 4: Simplify right side
    461.10x = 168,371.34
  5. Step 5: Solve for x
    x = 168,371.34/461.10
  6. Step 6: Final answer
    x = 365.15

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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.