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Finding the Fourth Proportional to 229.21, 343.85 and 113.72

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Solution

The fourth proportional to 229.21, 343.85 and 113.72 is: 170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.21 : 343.85 = 113.72 : x
  2. Step 2: Convert to fraction form
    229.21/343.85 = 113.72/x
  3. Step 3: Cross multiply
    229.21x = 343.85 × 113.72
  4. Step 4: Simplify right side
    229.21x = 39,100.33
  5. Step 5: Solve for x
    x = 39,100.33/229.21
  6. Step 6: Final answer
    x = 170.59

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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.