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Finding the Fourth Proportional to 299.08, 412.71 and 168.06

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Solution

The fourth proportional to 299.08, 412.71 and 168.06 is: 231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.08 : 412.71 = 168.06 : x
  2. Step 2: Convert to fraction form
    299.08/412.71 = 168.06/x
  3. Step 3: Cross multiply
    299.08x = 412.71 × 168.06
  4. Step 4: Simplify right side
    299.08x = 69,360.04
  5. Step 5: Solve for x
    x = 69,360.04/299.08
  6. Step 6: Final answer
    x = 231.91

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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.