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Finding the Fourth Proportional to 414.18, 571.57 and 227.67

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Solution

The fourth proportional to 414.18, 571.57 and 227.67 is: 314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.18 : 571.57 = 227.67 : x
  2. Step 2: Convert to fraction form
    414.18/571.57 = 227.67/x
  3. Step 3: Cross multiply
    414.18x = 571.57 × 227.67
  4. Step 4: Simplify right side
    414.18x = 130,130.92
  5. Step 5: Solve for x
    x = 130,130.92/414.18
  6. Step 6: Final answer
    x = 314.19

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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.