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Finding the Fourth Proportional to 417.99, 576.80 and 231.48

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Solution

The fourth proportional to 417.99, 576.80 and 231.48 is: 319.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.99 : 576.80 = 231.48 : x
  2. Step 2: Convert to fraction form
    417.99/576.80 = 231.48/x
  3. Step 3: Cross multiply
    417.99x = 576.80 × 231.48
  4. Step 4: Simplify right side
    417.99x = 133,517.66
  5. Step 5: Solve for x
    x = 133,517.66/417.99
  6. Step 6: Final answer
    x = 319.43

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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.