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Finding the Fourth Proportional to 423.67, 636.73 and 280.30

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Solution

The fourth proportional to 423.67, 636.73 and 280.30 is: 421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.67 : 636.73 = 280.30 : x
  2. Step 2: Convert to fraction form
    423.67/636.73 = 280.30/x
  3. Step 3: Cross multiply
    423.67x = 636.73 × 280.30
  4. Step 4: Simplify right side
    423.67x = 178,471.53
  5. Step 5: Solve for x
    x = 178,471.53/423.67
  6. Step 6: Final answer
    x = 421.26

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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.