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Finding the Fourth Proportional to 224.77, 337.16 and 194.25

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Solution

The fourth proportional to 224.77, 337.16 and 194.25 is: 291.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.77 : 337.16 = 194.25 : x
  2. Step 2: Convert to fraction form
    224.77/337.16 = 194.25/x
  3. Step 3: Cross multiply
    224.77x = 337.16 × 194.25
  4. Step 4: Simplify right side
    224.77x = 65,493.33
  5. Step 5: Solve for x
    x = 65,493.33/224.77
  6. Step 6: Final answer
    x = 291.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.