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Finding the Fourth Proportional to 299.12, 412.72 and 206.04

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Solution

The fourth proportional to 299.12, 412.72 and 206.04 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.12 : 412.72 = 206.04 : x
  2. Step 2: Convert to fraction form
    299.12/412.72 = 206.04/x
  3. Step 3: Cross multiply
    299.12x = 412.72 × 206.04
  4. Step 4: Simplify right side
    299.12x = 85,036.31
  5. Step 5: Solve for x
    x = 85,036.31/299.12
  6. Step 6: Final answer
    x = 284.29

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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.