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Finding the Fourth Proportional to 414.87, 622.24 and 195.45

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Solution

The fourth proportional to 414.87, 622.24 and 195.45 is: 293.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.87 : 622.24 = 195.45 : x
  2. Step 2: Convert to fraction form
    414.87/622.24 = 195.45/x
  3. Step 3: Cross multiply
    414.87x = 622.24 × 195.45
  4. Step 4: Simplify right side
    414.87x = 121,616.81
  5. Step 5: Solve for x
    x = 121,616.81/414.87
  6. Step 6: Final answer
    x = 293.14

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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.