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Finding the Fourth Proportional to 397.56, 547.94 and 323.72

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Solution

The fourth proportional to 397.56, 547.94 and 323.72 is: 446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.56 : 547.94 = 323.72 : x
  2. Step 2: Convert to fraction form
    397.56/547.94 = 323.72/x
  3. Step 3: Cross multiply
    397.56x = 547.94 × 323.72
  4. Step 4: Simplify right side
    397.56x = 177,379.14
  5. Step 5: Solve for x
    x = 177,379.14/397.56
  6. Step 6: Final answer
    x = 446.17

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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.