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Finding the Fourth Proportional to 299.43, 412.98 and 206.04

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Solution

The fourth proportional to 299.43, 412.98 and 206.04 is: 284.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.43 : 412.98 = 206.04 : x
  2. Step 2: Convert to fraction form
    299.43/412.98 = 206.04/x
  3. Step 3: Cross multiply
    299.43x = 412.98 × 206.04
  4. Step 4: Simplify right side
    299.43x = 85,090.40
  5. Step 5: Solve for x
    x = 85,090.40/299.43
  6. Step 6: Final answer
    x = 284.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.