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Finding the Fourth Proportional to 397.79, 548.77 and 231.91

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Solution

The fourth proportional to 397.79, 548.77 and 231.91 is: 319.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.79 : 548.77 = 231.91 : x
  2. Step 2: Convert to fraction form
    397.79/548.77 = 231.91/x
  3. Step 3: Cross multiply
    397.79x = 548.77 × 231.91
  4. Step 4: Simplify right side
    397.79x = 127,265.25
  5. Step 5: Solve for x
    x = 127,265.25/397.79
  6. Step 6: Final answer
    x = 319.93

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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.