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Finding the Fourth Proportional to 224.24, 306.90 and 223.28

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Solution

The fourth proportional to 224.24, 306.90 and 223.28 is: 305.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 306.90 = 223.28 : x
  2. Step 2: Convert to fraction form
    224.24/306.90 = 223.28/x
  3. Step 3: Cross multiply
    224.24x = 306.90 × 223.28
  4. Step 4: Simplify right side
    224.24x = 68,524.63
  5. Step 5: Solve for x
    x = 68,524.63/224.24
  6. Step 6: Final answer
    x = 305.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.