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Finding the Fourth Proportional to 464.20, 640.31 and 306.84

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Solution

The fourth proportional to 464.20, 640.31 and 306.84 is: 423.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.20 : 640.31 = 306.84 : x
  2. Step 2: Convert to fraction form
    464.20/640.31 = 306.84/x
  3. Step 3: Cross multiply
    464.20x = 640.31 × 306.84
  4. Step 4: Simplify right side
    464.20x = 196,472.72
  5. Step 5: Solve for x
    x = 196,472.72/464.20
  6. Step 6: Final answer
    x = 423.25

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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.