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Finding the Fourth Proportional to 229.53, 343.90 and 204.12

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Solution

The fourth proportional to 229.53, 343.90 and 204.12 is: 305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.53 : 343.90 = 204.12 : x
  2. Step 2: Convert to fraction form
    229.53/343.90 = 204.12/x
  3. Step 3: Cross multiply
    229.53x = 343.90 × 204.12
  4. Step 4: Simplify right side
    229.53x = 70,195.97
  5. Step 5: Solve for x
    x = 70,195.97/229.53
  6. Step 6: Final answer
    x = 305.82

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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.