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Finding the Fourth Proportional to 414.10, 571.47 and 227.59

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Solution

The fourth proportional to 414.10, 571.47 and 227.59 is: 314.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.10 : 571.47 = 227.59 : x
  2. Step 2: Convert to fraction form
    414.10/571.47 = 227.59/x
  3. Step 3: Cross multiply
    414.10x = 571.47 × 227.59
  4. Step 4: Simplify right side
    414.10x = 130,060.72
  5. Step 5: Solve for x
    x = 130,060.72/414.10
  6. Step 6: Final answer
    x = 314.08

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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.