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Finding the Fourth Proportional to 453.34, 678.39 and 280.04

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Solution

The fourth proportional to 453.34, 678.39 and 280.04 is: 419.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.34 : 678.39 = 280.04 : x
  2. Step 2: Convert to fraction form
    453.34/678.39 = 280.04/x
  3. Step 3: Cross multiply
    453.34x = 678.39 × 280.04
  4. Step 4: Simplify right side
    453.34x = 189,976.34
  5. Step 5: Solve for x
    x = 189,976.34/453.34
  6. Step 6: Final answer
    x = 419.06

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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.