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Finding the Fourth Proportional to 464.25, 639.76 and 306.71

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Solution

The fourth proportional to 464.25, 639.76 and 306.71 is: 422.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.25 : 639.76 = 306.71 : x
  2. Step 2: Convert to fraction form
    464.25/639.76 = 306.71/x
  3. Step 3: Cross multiply
    464.25x = 639.76 × 306.71
  4. Step 4: Simplify right side
    464.25x = 196,220.79
  5. Step 5: Solve for x
    x = 196,220.79/464.25
  6. Step 6: Final answer
    x = 422.66

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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.