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Finding the Fourth Proportional to 453.67, 678.88 and 280.19

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Solution

The fourth proportional to 453.67, 678.88 and 280.19 is: 419.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.67 : 678.88 = 280.19 : x
  2. Step 2: Convert to fraction form
    453.67/678.88 = 280.19/x
  3. Step 3: Cross multiply
    453.67x = 678.88 × 280.19
  4. Step 4: Simplify right side
    453.67x = 190,217.43
  5. Step 5: Solve for x
    x = 190,217.43/453.67
  6. Step 6: Final answer
    x = 419.29

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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.