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Finding the Fourth Proportional to 229.64, 344.78 and 197.56

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Solution

The fourth proportional to 229.64, 344.78 and 197.56 is: 296.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.64 : 344.78 = 197.56 : x
  2. Step 2: Convert to fraction form
    229.64/344.78 = 197.56/x
  3. Step 3: Cross multiply
    229.64x = 344.78 × 197.56
  4. Step 4: Simplify right side
    229.64x = 68,114.74
  5. Step 5: Solve for x
    x = 68,114.74/229.64
  6. Step 6: Final answer
    x = 296.62

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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.