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Finding the Fourth Proportional to 414.68, 573.08 and 331.65

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Solution

The fourth proportional to 414.68, 573.08 and 331.65 is: 458.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 573.08 = 331.65 : x
  2. Step 2: Convert to fraction form
    414.68/573.08 = 331.65/x
  3. Step 3: Cross multiply
    414.68x = 573.08 × 331.65
  4. Step 4: Simplify right side
    414.68x = 190,060.32
  5. Step 5: Solve for x
    x = 190,060.32/414.68
  6. Step 6: Final answer
    x = 458.34

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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.