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Finding the Fourth Proportional to 417.94, 576.77 and 231.43

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Solution

The fourth proportional to 417.94, 576.77 and 231.43 is: 319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.94 : 576.77 = 231.43 : x
  2. Step 2: Convert to fraction form
    417.94/576.77 = 231.43/x
  3. Step 3: Cross multiply
    417.94x = 576.77 × 231.43
  4. Step 4: Simplify right side
    417.94x = 133,481.88
  5. Step 5: Solve for x
    x = 133,481.88/417.94
  6. Step 6: Final answer
    x = 319.38

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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.