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Finding the Fourth Proportional to 414.13, 620.50 and 231.42

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Solution

The fourth proportional to 414.13, 620.50 and 231.42 is: 346.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.13 : 620.50 = 231.42 : x
  2. Step 2: Convert to fraction form
    414.13/620.50 = 231.42/x
  3. Step 3: Cross multiply
    414.13x = 620.50 × 231.42
  4. Step 4: Simplify right side
    414.13x = 143,596.11
  5. Step 5: Solve for x
    x = 143,596.11/414.13
  6. Step 6: Final answer
    x = 346.74

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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.