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Finding the Fourth Proportional to 224.40, 335.10 and 194.04

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Solution

The fourth proportional to 224.40, 335.10 and 194.04 is: 289.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.40 : 335.10 = 194.04 : x
  2. Step 2: Convert to fraction form
    224.40/335.10 = 194.04/x
  3. Step 3: Cross multiply
    224.40x = 335.10 × 194.04
  4. Step 4: Simplify right side
    224.40x = 65,022.80
  5. Step 5: Solve for x
    x = 65,022.80/224.40
  6. Step 6: Final answer
    x = 289.76

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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.