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Finding the Fourth Proportional to 464.89, 641.57 and 255.09

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Solution

The fourth proportional to 464.89, 641.57 and 255.09 is: 352.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.89 : 641.57 = 255.09 : x
  2. Step 2: Convert to fraction form
    464.89/641.57 = 255.09/x
  3. Step 3: Cross multiply
    464.89x = 641.57 × 255.09
  4. Step 4: Simplify right side
    464.89x = 163,653.61
  5. Step 5: Solve for x
    x = 163,653.61/464.89
  6. Step 6: Final answer
    x = 352.03

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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.