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Finding the Fourth Proportional to 225.29, 338.09 and 81

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Solution

The fourth proportional to 225.29, 338.09 and 81 is: 121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.29 : 338.09 = 81 : x
  2. Step 2: Convert to fraction form
    225.29/338.09 = 81/x
  3. Step 3: Cross multiply
    225.29x = 338.09 × 81
  4. Step 4: Simplify right side
    225.29x = 27,384.89
  5. Step 5: Solve for x
    x = 27,384.89/225.29
  6. Step 6: Final answer
    x = 121.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.