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Finding the Fourth Proportional to 224.28, 333.97 and 216.08

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Solution

The fourth proportional to 224.28, 333.97 and 216.08 is: 321.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 333.97 = 216.08 : x
  2. Step 2: Convert to fraction form
    224.28/333.97 = 216.08/x
  3. Step 3: Cross multiply
    224.28x = 333.97 × 216.08
  4. Step 4: Simplify right side
    224.28x = 72,164.24
  5. Step 5: Solve for x
    x = 72,164.24/224.28
  6. Step 6: Final answer
    x = 321.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.