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Finding the Fourth Proportional to 414.37, 571.71 and 256.97

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Solution

The fourth proportional to 414.37, 571.71 and 256.97 is: 354.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.37 : 571.71 = 256.97 : x
  2. Step 2: Convert to fraction form
    414.37/571.71 = 256.97/x
  3. Step 3: Cross multiply
    414.37x = 571.71 × 256.97
  4. Step 4: Simplify right side
    414.37x = 146,913.27
  5. Step 5: Solve for x
    x = 146,913.27/414.37
  6. Step 6: Final answer
    x = 354.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.