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Finding the Fourth Proportional to 397.28, 548.26 and 231.48

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Solution

The fourth proportional to 397.28, 548.26 and 231.48 is: 319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.28 : 548.26 = 231.48 : x
  2. Step 2: Convert to fraction form
    397.28/548.26 = 231.48/x
  3. Step 3: Cross multiply
    397.28x = 548.26 × 231.48
  4. Step 4: Simplify right side
    397.28x = 126,911.22
  5. Step 5: Solve for x
    x = 126,911.22/397.28
  6. Step 6: Final answer
    x = 319.45

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