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Finding the Fourth Proportional to 225.82, 337.30 and 204.12

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Solution

The fourth proportional to 225.82, 337.30 and 204.12 is: 304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.82 : 337.30 = 204.12 : x
  2. Step 2: Convert to fraction form
    225.82/337.30 = 204.12/x
  3. Step 3: Cross multiply
    225.82x = 337.30 × 204.12
  4. Step 4: Simplify right side
    225.82x = 68,849.17
  5. Step 5: Solve for x
    x = 68,849.17/225.82
  6. Step 6: Final answer
    x = 304.88

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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.