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Finding the Fourth Proportional to 464.09, 640.41 and 254.24

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Solution

The fourth proportional to 464.09, 640.41 and 254.24 is: 350.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.09 : 640.41 = 254.24 : x
  2. Step 2: Convert to fraction form
    464.09/640.41 = 254.24/x
  3. Step 3: Cross multiply
    464.09x = 640.41 × 254.24
  4. Step 4: Simplify right side
    464.09x = 162,814.64
  5. Step 5: Solve for x
    x = 162,814.64/464.09
  6. Step 6: Final answer
    x = 350.83

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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.