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Finding the Fourth Proportional to 224.60, 310.09 and 201.25

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Solution

The fourth proportional to 224.60, 310.09 and 201.25 is: 277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.60 : 310.09 = 201.25 : x
  2. Step 2: Convert to fraction form
    224.60/310.09 = 201.25/x
  3. Step 3: Cross multiply
    224.60x = 310.09 × 201.25
  4. Step 4: Simplify right side
    224.60x = 62,404.33
  5. Step 5: Solve for x
    x = 62,404.33/224.60
  6. Step 6: Final answer
    x = 277.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.