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Finding the Fourth Proportional to 226.64, 338.56 and 190.20

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Solution

The fourth proportional to 226.64, 338.56 and 190.20 is: 284.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.64 : 338.56 = 190.20 : x
  2. Step 2: Convert to fraction form
    226.64/338.56 = 190.20/x
  3. Step 3: Cross multiply
    226.64x = 338.56 × 190.20
  4. Step 4: Simplify right side
    226.64x = 64,394.11
  5. Step 5: Solve for x
    x = 64,394.11/226.64
  6. Step 6: Final answer
    x = 284.13

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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.