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Finding the Fourth Proportional to 464.62, 641.38 and 340.29

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Solution

The fourth proportional to 464.62, 641.38 and 340.29 is: 469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.62 : 641.38 = 340.29 : x
  2. Step 2: Convert to fraction form
    464.62/641.38 = 340.29/x
  3. Step 3: Cross multiply
    464.62x = 641.38 × 340.29
  4. Step 4: Simplify right side
    464.62x = 218,255.20
  5. Step 5: Solve for x
    x = 218,255.20/464.62
  6. Step 6: Final answer
    x = 469.75

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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.