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Finding the Fourth Proportional to 423.97, 636.14 and 180.43

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Solution

The fourth proportional to 423.97, 636.14 and 180.43 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 636.14 = 180.43 : x
  2. Step 2: Convert to fraction form
    423.97/636.14 = 180.43/x
  3. Step 3: Cross multiply
    423.97x = 636.14 × 180.43
  4. Step 4: Simplify right side
    423.97x = 114,777.84
  5. Step 5: Solve for x
    x = 114,777.84/423.97
  6. Step 6: Final answer
    x = 270.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.