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Finding the Fourth Proportional to 453.89, 680.15 and 280.08

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Solution

The fourth proportional to 453.89, 680.15 and 280.08 is: 419.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.89 : 680.15 = 280.08 : x
  2. Step 2: Convert to fraction form
    453.89/680.15 = 280.08/x
  3. Step 3: Cross multiply
    453.89x = 680.15 × 280.08
  4. Step 4: Simplify right side
    453.89x = 190,495.01
  5. Step 5: Solve for x
    x = 190,495.01/453.89
  6. Step 6: Final answer
    x = 419.70

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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.