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Finding the Fourth Proportional to 447.50, 672.20 and 274.26

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Solution

The fourth proportional to 447.50, 672.20 and 274.26 is: 411.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.50 : 672.20 = 274.26 : x
  2. Step 2: Convert to fraction form
    447.50/672.20 = 274.26/x
  3. Step 3: Cross multiply
    447.50x = 672.20 × 274.26
  4. Step 4: Simplify right side
    447.50x = 184,357.57
  5. Step 5: Solve for x
    x = 184,357.57/447.50
  6. Step 6: Final answer
    x = 411.97

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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.