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Finding the Fourth Proportional to 416.96, 575.08 and 329.48

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Solution

The fourth proportional to 416.96, 575.08 and 329.48 is: 454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.96 : 575.08 = 329.48 : x
  2. Step 2: Convert to fraction form
    416.96/575.08 = 329.48/x
  3. Step 3: Cross multiply
    416.96x = 575.08 × 329.48
  4. Step 4: Simplify right side
    416.96x = 189,477.36
  5. Step 5: Solve for x
    x = 189,477.36/416.96
  6. Step 6: Final answer
    x = 454.43

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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.