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Finding the Fourth Proportional to 447.08, 669.34 and 275.56

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Solution

The fourth proportional to 447.08, 669.34 and 275.56 is: 412.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 669.34 = 275.56 : x
  2. Step 2: Convert to fraction form
    447.08/669.34 = 275.56/x
  3. Step 3: Cross multiply
    447.08x = 669.34 × 275.56
  4. Step 4: Simplify right side
    447.08x = 184,443.33
  5. Step 5: Solve for x
    x = 184,443.33/447.08
  6. Step 6: Final answer
    x = 412.55

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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.