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Finding the Fourth Proportional to 226.28, 337.38 and 192.24

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Solution

The fourth proportional to 226.28, 337.38 and 192.24 is: 286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 337.38 = 192.24 : x
  2. Step 2: Convert to fraction form
    226.28/337.38 = 192.24/x
  3. Step 3: Cross multiply
    226.28x = 337.38 × 192.24
  4. Step 4: Simplify right side
    226.28x = 64,857.93
  5. Step 5: Solve for x
    x = 64,857.93/226.28
  6. Step 6: Final answer
    x = 286.63

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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.