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Finding the Fourth Proportional to 298.84, 414.31 and 282.44

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Solution

The fourth proportional to 298.84, 414.31 and 282.44 is: 391.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.84 : 414.31 = 282.44 : x
  2. Step 2: Convert to fraction form
    298.84/414.31 = 282.44/x
  3. Step 3: Cross multiply
    298.84x = 414.31 × 282.44
  4. Step 4: Simplify right side
    298.84x = 117,017.72
  5. Step 5: Solve for x
    x = 117,017.72/298.84
  6. Step 6: Final answer
    x = 391.57

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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.