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Finding the Fourth Proportional to 414.19, 571.59 and 256.82

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Solution

The fourth proportional to 414.19, 571.59 and 256.82 is: 354.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.19 : 571.59 = 256.82 : x
  2. Step 2: Convert to fraction form
    414.19/571.59 = 256.82/x
  3. Step 3: Cross multiply
    414.19x = 571.59 × 256.82
  4. Step 4: Simplify right side
    414.19x = 146,795.74
  5. Step 5: Solve for x
    x = 146,795.74/414.19
  6. Step 6: Final answer
    x = 354.42

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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.