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Finding the Fourth Proportional to 224.41, 335.04 and 189.81

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Solution

The fourth proportional to 224.41, 335.04 and 189.81 is: 283.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.41 : 335.04 = 189.81 : x
  2. Step 2: Convert to fraction form
    224.41/335.04 = 189.81/x
  3. Step 3: Cross multiply
    224.41x = 335.04 × 189.81
  4. Step 4: Simplify right side
    224.41x = 63,593.94
  5. Step 5: Solve for x
    x = 63,593.94/224.41
  6. Step 6: Final answer
    x = 283.38

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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.