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Finding the Fourth Proportional to 463, 639.10 and 279

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Solution

The fourth proportional to 463, 639.10 and 279 is: 385.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 639.10 = 279 : x
  2. Step 2: Convert to fraction form
    463/639.10 = 279/x
  3. Step 3: Cross multiply
    463x = 639.10 × 279
  4. Step 4: Simplify right side
    463x = 178,308.90
  5. Step 5: Solve for x
    x = 178,308.90/463
  6. Step 6: Final answer
    x = 385.12

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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.