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Finding the Fourth Proportional to 464.20, 639.84 and 308.68

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Solution

The fourth proportional to 464.20, 639.84 and 308.68 is: 425.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 639.84 = 308.68 : x
  2. Step 2: Convert to fraction form
    464.20/639.84 = 308.68/x
  3. Step 3: Cross multiply
    464.20x = 639.84 × 308.68
  4. Step 4: Simplify right side
    464.20x = 197,505.81
  5. Step 5: Solve for x
    x = 197,505.81/464.20
  6. Step 6: Final answer
    x = 425.48

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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.