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Finding the Fourth Proportional to 349.09, 481.86 and 229.46

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Solution

The fourth proportional to 349.09, 481.86 and 229.46 is: 316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.09 : 481.86 = 229.46 : x
  2. Step 2: Convert to fraction form
    349.09/481.86 = 229.46/x
  3. Step 3: Cross multiply
    349.09x = 481.86 × 229.46
  4. Step 4: Simplify right side
    349.09x = 110,567.60
  5. Step 5: Solve for x
    x = 110,567.60/349.09
  6. Step 6: Final answer
    x = 316.74

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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.