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Finding the Fourth Proportional to 401.80, 554.46 and 227.08

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Solution

The fourth proportional to 401.80, 554.46 and 227.08 is: 313.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.80 : 554.46 = 227.08 : x
  2. Step 2: Convert to fraction form
    401.80/554.46 = 227.08/x
  3. Step 3: Cross multiply
    401.80x = 554.46 × 227.08
  4. Step 4: Simplify right side
    401.80x = 125,906.78
  5. Step 5: Solve for x
    x = 125,906.78/401.80
  6. Step 6: Final answer
    x = 313.36

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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.