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Finding the Fourth Proportional to 299.07, 409.92 and 288.12

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Solution

The fourth proportional to 299.07, 409.92 and 288.12 is: 394.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.07 : 409.92 = 288.12 : x
  2. Step 2: Convert to fraction form
    299.07/409.92 = 288.12/x
  3. Step 3: Cross multiply
    299.07x = 409.92 × 288.12
  4. Step 4: Simplify right side
    299.07x = 118,106.15
  5. Step 5: Solve for x
    x = 118,106.15/299.07
  6. Step 6: Final answer
    x = 394.91

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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.