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Finding the Fourth Proportional to 464.00, 639.68 and 339.26

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Solution

The fourth proportional to 464.00, 639.68 and 339.26 is: 467.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.00 : 639.68 = 339.26 : x
  2. Step 2: Convert to fraction form
    464.00/639.68 = 339.26/x
  3. Step 3: Cross multiply
    464.00x = 639.68 × 339.26
  4. Step 4: Simplify right side
    464.00x = 217,012.94
  5. Step 5: Solve for x
    x = 217,012.94/464.00
  6. Step 6: Final answer
    x = 467.71

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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.