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Finding the Fourth Proportional to 401.54, 554.09 and 226.85

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Solution

The fourth proportional to 401.54, 554.09 and 226.85 is: 313.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.54 : 554.09 = 226.85 : x
  2. Step 2: Convert to fraction form
    401.54/554.09 = 226.85/x
  3. Step 3: Cross multiply
    401.54x = 554.09 × 226.85
  4. Step 4: Simplify right side
    401.54x = 125,696.13
  5. Step 5: Solve for x
    x = 125,696.13/401.54
  6. Step 6: Final answer
    x = 313.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.