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Finding the Fourth Proportional to 414.66, 572.08 and 331.96

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Solution

The fourth proportional to 414.66, 572.08 and 331.96 is: 457.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.66 : 572.08 = 331.96 : x
  2. Step 2: Convert to fraction form
    414.66/572.08 = 331.96/x
  3. Step 3: Cross multiply
    414.66x = 572.08 × 331.96
  4. Step 4: Simplify right side
    414.66x = 189,907.68
  5. Step 5: Solve for x
    x = 189,907.68/414.66
  6. Step 6: Final answer
    x = 457.98

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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.