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Finding the Fourth Proportional to 401.87, 554.61 and 227.21

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Solution

The fourth proportional to 401.87, 554.61 and 227.21 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.87 : 554.61 = 227.21 : x
  2. Step 2: Convert to fraction form
    401.87/554.61 = 227.21/x
  3. Step 3: Cross multiply
    401.87x = 554.61 × 227.21
  4. Step 4: Simplify right side
    401.87x = 126,012.94
  5. Step 5: Solve for x
    x = 126,012.94/401.87
  6. Step 6: Final answer
    x = 313.57

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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.