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Finding the Fourth Proportional to 445.23, 667.18 and 280.30

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Solution

The fourth proportional to 445.23, 667.18 and 280.30 is: 420.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.23 : 667.18 = 280.30 : x
  2. Step 2: Convert to fraction form
    445.23/667.18 = 280.30/x
  3. Step 3: Cross multiply
    445.23x = 667.18 × 280.30
  4. Step 4: Simplify right side
    445.23x = 187,010.55
  5. Step 5: Solve for x
    x = 187,010.55/445.23
  6. Step 6: Final answer
    x = 420.03

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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.