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Finding the Fourth Proportional to 415.97, 574.07 and 229.46

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Solution

The fourth proportional to 415.97, 574.07 and 229.46 is: 316.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.97 : 574.07 = 229.46 : x
  2. Step 2: Convert to fraction form
    415.97/574.07 = 229.46/x
  3. Step 3: Cross multiply
    415.97x = 574.07 × 229.46
  4. Step 4: Simplify right side
    415.97x = 131,725.53
  5. Step 5: Solve for x
    x = 131,725.53/415.97
  6. Step 6: Final answer
    x = 316.67

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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.