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Finding the Fourth Proportional to 414.32, 571.56 and 297.68

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Solution

The fourth proportional to 414.32, 571.56 and 297.68 is: 410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.32 : 571.56 = 297.68 : x
  2. Step 2: Convert to fraction form
    414.32/571.56 = 297.68/x
  3. Step 3: Cross multiply
    414.32x = 571.56 × 297.68
  4. Step 4: Simplify right side
    414.32x = 170,141.98
  5. Step 5: Solve for x
    x = 170,141.98/414.32
  6. Step 6: Final answer
    x = 410.65

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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.