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Finding the Fourth Proportional to 464.90, 641.67 and 340.97

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Solution

The fourth proportional to 464.90, 641.67 and 340.97 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.90 : 641.67 = 340.97 : x
  2. Step 2: Convert to fraction form
    464.90/641.67 = 340.97/x
  3. Step 3: Cross multiply
    464.90x = 641.67 × 340.97
  4. Step 4: Simplify right side
    464.90x = 218,790.22
  5. Step 5: Solve for x
    x = 218,790.22/464.90
  6. Step 6: Final answer
    x = 470.62

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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.