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Finding the Fourth Proportional to 298.44, 409.65 and 282.24

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Solution

The fourth proportional to 298.44, 409.65 and 282.24 is: 387.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.44 : 409.65 = 282.24 : x
  2. Step 2: Convert to fraction form
    298.44/409.65 = 282.24/x
  3. Step 3: Cross multiply
    298.44x = 409.65 × 282.24
  4. Step 4: Simplify right side
    298.44x = 115,619.62
  5. Step 5: Solve for x
    x = 115,619.62/298.44
  6. Step 6: Final answer
    x = 387.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.