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Finding the Fourth Proportional to 416.94, 576.09 and 330.27

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Solution

The fourth proportional to 416.94, 576.09 and 330.27 is: 456.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.94 : 576.09 = 330.27 : x
  2. Step 2: Convert to fraction form
    416.94/576.09 = 330.27/x
  3. Step 3: Cross multiply
    416.94x = 576.09 × 330.27
  4. Step 4: Simplify right side
    416.94x = 190,265.24
  5. Step 5: Solve for x
    x = 190,265.24/416.94
  6. Step 6: Final answer
    x = 456.34

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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.