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Finding the Fourth Proportional to 463.25, 638.38 and 305.71

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Solution

The fourth proportional to 463.25, 638.38 and 305.71 is: 421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 638.38 = 305.71 : x
  2. Step 2: Convert to fraction form
    463.25/638.38 = 305.71/x
  3. Step 3: Cross multiply
    463.25x = 638.38 × 305.71
  4. Step 4: Simplify right side
    463.25x = 195,157.94
  5. Step 5: Solve for x
    x = 195,157.94/463.25
  6. Step 6: Final answer
    x = 421.28

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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.