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Finding the Fourth Proportional to 226.06, 340.32 and 154.38

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Solution

The fourth proportional to 226.06, 340.32 and 154.38 is: 232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.06 : 340.32 = 154.38 : x
  2. Step 2: Convert to fraction form
    226.06/340.32 = 154.38/x
  3. Step 3: Cross multiply
    226.06x = 340.32 × 154.38
  4. Step 4: Simplify right side
    226.06x = 52,538.60
  5. Step 5: Solve for x
    x = 52,538.60/226.06
  6. Step 6: Final answer
    x = 232.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.