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Finding the Fourth Proportional to 414.09, 620.80 and 153.93

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Solution

The fourth proportional to 414.09, 620.80 and 153.93 is: 230.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.09 : 620.80 = 153.93 : x
  2. Step 2: Convert to fraction form
    414.09/620.80 = 153.93/x
  3. Step 3: Cross multiply
    414.09x = 620.80 × 153.93
  4. Step 4: Simplify right side
    414.09x = 95,555.87
  5. Step 5: Solve for x
    x = 95,555.87/414.09
  6. Step 6: Final answer
    x = 230.76

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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.