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Finding the Fourth Proportional to 414.54, 571.94 and 257.30

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Solution

The fourth proportional to 414.54, 571.94 and 257.30 is: 355.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.54 : 571.94 = 257.30 : x
  2. Step 2: Convert to fraction form
    414.54/571.94 = 257.30/x
  3. Step 3: Cross multiply
    414.54x = 571.94 × 257.30
  4. Step 4: Simplify right side
    414.54x = 147,160.16
  5. Step 5: Solve for x
    x = 147,160.16/414.54
  6. Step 6: Final answer
    x = 355.00

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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.