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Finding the Fourth Proportional to 416.12, 574.21 and 229.61

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Solution

The fourth proportional to 416.12, 574.21 and 229.61 is: 316.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.12 : 574.21 = 229.61 : x
  2. Step 2: Convert to fraction form
    416.12/574.21 = 229.61/x
  3. Step 3: Cross multiply
    416.12x = 574.21 × 229.61
  4. Step 4: Simplify right side
    416.12x = 131,844.36
  5. Step 5: Solve for x
    x = 131,844.36/416.12
  6. Step 6: Final answer
    x = 316.84

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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.