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Finding the Fourth Proportional to 397.05, 547.92 and 231.32

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Solution

The fourth proportional to 397.05, 547.92 and 231.32 is: 319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.05 : 547.92 = 231.32 : x
  2. Step 2: Convert to fraction form
    397.05/547.92 = 231.32/x
  3. Step 3: Cross multiply
    397.05x = 547.92 × 231.32
  4. Step 4: Simplify right side
    397.05x = 126,742.11
  5. Step 5: Solve for x
    x = 126,742.11/397.05
  6. Step 6: Final answer
    x = 319.21

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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.