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Finding the Fourth Proportional to 298.71, 414.12 and 282.30

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Solution

The fourth proportional to 298.71, 414.12 and 282.30 is: 391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.71 : 414.12 = 282.30 : x
  2. Step 2: Convert to fraction form
    298.71/414.12 = 282.30/x
  3. Step 3: Cross multiply
    298.71x = 414.12 × 282.30
  4. Step 4: Simplify right side
    298.71x = 116,906.08
  5. Step 5: Solve for x
    x = 116,906.08/298.71
  6. Step 6: Final answer
    x = 391.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.