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Finding the Fourth Proportional to 447.42, 671.44 and 293.42

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Solution

The fourth proportional to 447.42, 671.44 and 293.42 is: 440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.42 : 671.44 = 293.42 : x
  2. Step 2: Convert to fraction form
    447.42/671.44 = 293.42/x
  3. Step 3: Cross multiply
    447.42x = 671.44 × 293.42
  4. Step 4: Simplify right side
    447.42x = 197,015.42
  5. Step 5: Solve for x
    x = 197,015.42/447.42
  6. Step 6: Final answer
    x = 440.33

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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.