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Finding the Fourth Proportional to 299.62, 409.67 and 288.28

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Solution

The fourth proportional to 299.62, 409.67 and 288.28 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.62 : 409.67 = 288.28 : x
  2. Step 2: Convert to fraction form
    299.62/409.67 = 288.28/x
  3. Step 3: Cross multiply
    299.62x = 409.67 × 288.28
  4. Step 4: Simplify right side
    299.62x = 118,099.67
  5. Step 5: Solve for x
    x = 118,099.67/299.62
  6. Step 6: Final answer
    x = 394.16

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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.