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Finding the Fourth Proportional to 447.39, 669.60 and 282.96

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Solution

The fourth proportional to 447.39, 669.60 and 282.96 is: 423.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.39 : 669.60 = 282.96 : x
  2. Step 2: Convert to fraction form
    447.39/669.60 = 282.96/x
  3. Step 3: Cross multiply
    447.39x = 669.60 × 282.96
  4. Step 4: Simplify right side
    447.39x = 189,470.02
  5. Step 5: Solve for x
    x = 189,470.02/447.39
  6. Step 6: Final answer
    x = 423.50

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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.