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Finding the Fourth Proportional to 224.36, 334.34 and 217.02

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Solution

The fourth proportional to 224.36, 334.34 and 217.02 is: 323.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.36 : 334.34 = 217.02 : x
  2. Step 2: Convert to fraction form
    224.36/334.34 = 217.02/x
  3. Step 3: Cross multiply
    224.36x = 334.34 × 217.02
  4. Step 4: Simplify right side
    224.36x = 72,560.67
  5. Step 5: Solve for x
    x = 72,560.67/224.36
  6. Step 6: Final answer
    x = 323.41

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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.