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Finding the Fourth Proportional to 416.33, 574.53 and 229.84

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Solution

The fourth proportional to 416.33, 574.53 and 229.84 is: 317.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.33 : 574.53 = 229.84 : x
  2. Step 2: Convert to fraction form
    416.33/574.53 = 229.84/x
  3. Step 3: Cross multiply
    416.33x = 574.53 × 229.84
  4. Step 4: Simplify right side
    416.33x = 132,049.98
  5. Step 5: Solve for x
    x = 132,049.98/416.33
  6. Step 6: Final answer
    x = 317.18

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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.