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Finding the Fourth Proportional to 453.28, 679.64 and 280.20

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Solution

The fourth proportional to 453.28, 679.64 and 280.20 is: 420.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.28 : 679.64 = 280.20 : x
  2. Step 2: Convert to fraction form
    453.28/679.64 = 280.20/x
  3. Step 3: Cross multiply
    453.28x = 679.64 × 280.20
  4. Step 4: Simplify right side
    453.28x = 190,435.13
  5. Step 5: Solve for x
    x = 190,435.13/453.28
  6. Step 6: Final answer
    x = 420.13

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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.