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Finding the Fourth Proportional to 464.85, 641.49 and 257.85

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Solution

The fourth proportional to 464.85, 641.49 and 257.85 is: 355.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.85 : 641.49 = 257.85 : x
  2. Step 2: Convert to fraction form
    464.85/641.49 = 257.85/x
  3. Step 3: Cross multiply
    464.85x = 641.49 × 257.85
  4. Step 4: Simplify right side
    464.85x = 165,403.70
  5. Step 5: Solve for x
    x = 165,403.70/464.85
  6. Step 6: Final answer
    x = 355.83

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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.