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Finding the Fourth Proportional to 299.36, 410.64 and 282.80

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Solution

The fourth proportional to 299.36, 410.64 and 282.80 is: 387.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.36 : 410.64 = 282.80 : x
  2. Step 2: Convert to fraction form
    299.36/410.64 = 282.80/x
  3. Step 3: Cross multiply
    299.36x = 410.64 × 282.80
  4. Step 4: Simplify right side
    299.36x = 116,128.99
  5. Step 5: Solve for x
    x = 116,128.99/299.36
  6. Step 6: Final answer
    x = 387.92

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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.