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Finding the Fourth Proportional to 464.22, 696.25 and 326.85

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Solution

The fourth proportional to 464.22, 696.25 and 326.85 is: 490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.22 : 696.25 = 326.85 : x
  2. Step 2: Convert to fraction form
    464.22/696.25 = 326.85/x
  3. Step 3: Cross multiply
    464.22x = 696.25 × 326.85
  4. Step 4: Simplify right side
    464.22x = 227,569.31
  5. Step 5: Solve for x
    x = 227,569.31/464.22
  6. Step 6: Final answer
    x = 490.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.