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Finding the Fourth Proportional to 224.28, 307.85 and 199.16

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Solution

The fourth proportional to 224.28, 307.85 and 199.16 is: 273.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 307.85 = 199.16 : x
  2. Step 2: Convert to fraction form
    224.28/307.85 = 199.16/x
  3. Step 3: Cross multiply
    224.28x = 307.85 × 199.16
  4. Step 4: Simplify right side
    224.28x = 61,311.41
  5. Step 5: Solve for x
    x = 61,311.41/224.28
  6. Step 6: Final answer
    x = 273.37

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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.