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Finding the Fourth Proportional to 464.43, 640.92 and 257.43

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Solution

The fourth proportional to 464.43, 640.92 and 257.43 is: 355.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.43 : 640.92 = 257.43 : x
  2. Step 2: Convert to fraction form
    464.43/640.92 = 257.43/x
  3. Step 3: Cross multiply
    464.43x = 640.92 × 257.43
  4. Step 4: Simplify right side
    464.43x = 164,992.04
  5. Step 5: Solve for x
    x = 164,992.04/464.43
  6. Step 6: Final answer
    x = 355.26

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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.