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Finding the Fourth Proportional to 414.36, 620.64 and 231.24

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Solution

The fourth proportional to 414.36, 620.64 and 231.24 is: 346.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.36 : 620.64 = 231.24 : x
  2. Step 2: Convert to fraction form
    414.36/620.64 = 231.24/x
  3. Step 3: Cross multiply
    414.36x = 620.64 × 231.24
  4. Step 4: Simplify right side
    414.36x = 143,516.79
  5. Step 5: Solve for x
    x = 143,516.79/414.36
  6. Step 6: Final answer
    x = 346.36

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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.