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Finding the Fourth Proportional to 224.94, 339.26 and 217.64

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Solution

The fourth proportional to 224.94, 339.26 and 217.64 is: 328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.94 : 339.26 = 217.64 : x
  2. Step 2: Convert to fraction form
    224.94/339.26 = 217.64/x
  3. Step 3: Cross multiply
    224.94x = 339.26 × 217.64
  4. Step 4: Simplify right side
    224.94x = 73,836.55
  5. Step 5: Solve for x
    x = 73,836.55/224.94
  6. Step 6: Final answer
    x = 328.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.