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Finding the Fourth Proportional to 414.23, 571.25 and 331.34

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Solution

The fourth proportional to 414.23, 571.25 and 331.34 is: 456.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.23 : 571.25 = 331.34 : x
  2. Step 2: Convert to fraction form
    414.23/571.25 = 331.34/x
  3. Step 3: Cross multiply
    414.23x = 571.25 × 331.34
  4. Step 4: Simplify right side
    414.23x = 189,275.12
  5. Step 5: Solve for x
    x = 189,275.12/414.23
  6. Step 6: Final answer
    x = 456.94

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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.