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Finding the Fourth Proportional to 229.56, 344.88 and 193.92

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Solution

The fourth proportional to 229.56, 344.88 and 193.92 is: 291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.56 : 344.88 = 193.92 : x
  2. Step 2: Convert to fraction form
    229.56/344.88 = 193.92/x
  3. Step 3: Cross multiply
    229.56x = 344.88 × 193.92
  4. Step 4: Simplify right side
    229.56x = 66,879.13
  5. Step 5: Solve for x
    x = 66,879.13/229.56
  6. Step 6: Final answer
    x = 291.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.