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Finding the Fourth Proportional to 414.09, 621.18 and 182.88

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Solution

The fourth proportional to 414.09, 621.18 and 182.88 is: 274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 621.18 = 182.88 : x
  2. Step 2: Convert to fraction form
    414.09/621.18 = 182.88/x
  3. Step 3: Cross multiply
    414.09x = 621.18 × 182.88
  4. Step 4: Simplify right side
    414.09x = 113,601.40
  5. Step 5: Solve for x
    x = 113,601.40/414.09
  6. Step 6: Final answer
    x = 274.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.