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Finding the Fourth Proportional to 414.76, 622.02 and 140.80

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Solution

The fourth proportional to 414.76, 622.02 and 140.80 is: 211.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.76 : 622.02 = 140.80 : x
  2. Step 2: Convert to fraction form
    414.76/622.02 = 140.80/x
  3. Step 3: Cross multiply
    414.76x = 622.02 × 140.80
  4. Step 4: Simplify right side
    414.76x = 87,580.42
  5. Step 5: Solve for x
    x = 87,580.42/414.76
  6. Step 6: Final answer
    x = 211.16

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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.