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Finding the Fourth Proportional to 463, 638.68 and 305.47

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Solution

The fourth proportional to 463, 638.68 and 305.47 is: 421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 638.68 = 305.47 : x
  2. Step 2: Convert to fraction form
    463/638.68 = 305.47/x
  3. Step 3: Cross multiply
    463x = 638.68 × 305.47
  4. Step 4: Simplify right side
    463x = 195,097.58
  5. Step 5: Solve for x
    x = 195,097.58/463
  6. Step 6: Final answer
    x = 421.38

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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.