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Finding the Fourth Proportional to 414.24, 571.24 and 256.92

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Solution

The fourth proportional to 414.24, 571.24 and 256.92 is: 354.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.24 : 571.24 = 256.92 : x
  2. Step 2: Convert to fraction form
    414.24/571.24 = 256.92/x
  3. Step 3: Cross multiply
    414.24x = 571.24 × 256.92
  4. Step 4: Simplify right side
    414.24x = 146,762.98
  5. Step 5: Solve for x
    x = 146,762.98/414.24
  6. Step 6: Final answer
    x = 354.29

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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.