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Finding the Fourth Proportional to 464.49, 641.46 and 366.09

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Solution

The fourth proportional to 464.49, 641.46 and 366.09 is: 505.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.49 : 641.46 = 366.09 : x
  2. Step 2: Convert to fraction form
    464.49/641.46 = 366.09/x
  3. Step 3: Cross multiply
    464.49x = 641.46 × 366.09
  4. Step 4: Simplify right side
    464.49x = 234,832.09
  5. Step 5: Solve for x
    x = 234,832.09/464.49
  6. Step 6: Final answer
    x = 505.57

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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.