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Finding the Fourth Proportional to 343.24, 472.94 and 327.75

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Solution

The fourth proportional to 343.24, 472.94 and 327.75 is: 451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.24 : 472.94 = 327.75 : x
  2. Step 2: Convert to fraction form
    343.24/472.94 = 327.75/x
  3. Step 3: Cross multiply
    343.24x = 472.94 × 327.75
  4. Step 4: Simplify right side
    343.24x = 155,003.90
  5. Step 5: Solve for x
    x = 155,003.90/343.24
  6. Step 6: Final answer
    x = 451.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.