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Finding the Fourth Proportional to 461.45, 635.65 and 321.32

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Solution

The fourth proportional to 461.45, 635.65 and 321.32 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.45 : 635.65 = 321.32 : x
  2. Step 2: Convert to fraction form
    461.45/635.65 = 321.32/x
  3. Step 3: Cross multiply
    461.45x = 635.65 × 321.32
  4. Step 4: Simplify right side
    461.45x = 204,244.27
  5. Step 5: Solve for x
    x = 204,244.27/461.45
  6. Step 6: Final answer
    x = 442.62

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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.