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Finding the Fourth Proportional to 414.74, 622.08 and 231.72

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Solution

The fourth proportional to 414.74, 622.08 and 231.72 is: 347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.74 : 622.08 = 231.72 : x
  2. Step 2: Convert to fraction form
    414.74/622.08 = 231.72/x
  3. Step 3: Cross multiply
    414.74x = 622.08 × 231.72
  4. Step 4: Simplify right side
    414.74x = 144,148.38
  5. Step 5: Solve for x
    x = 144,148.38/414.74
  6. Step 6: Final answer
    x = 347.56

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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.