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Finding the Fourth Proportional to 453.14, 680.45 and 280.91

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Solution

The fourth proportional to 453.14, 680.45 and 280.91 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.14 : 680.45 = 280.91 : x
  2. Step 2: Convert to fraction form
    453.14/680.45 = 280.91/x
  3. Step 3: Cross multiply
    453.14x = 680.45 × 280.91
  4. Step 4: Simplify right side
    453.14x = 191,147.61
  5. Step 5: Solve for x
    x = 191,147.61/453.14
  6. Step 6: Final answer
    x = 421.83

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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.