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Finding the Fourth Proportional to 299.15, 412.81 and 168.16

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Solution

The fourth proportional to 299.15, 412.81 and 168.16 is: 232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.15 : 412.81 = 168.16 : x
  2. Step 2: Convert to fraction form
    299.15/412.81 = 168.16/x
  3. Step 3: Cross multiply
    299.15x = 412.81 × 168.16
  4. Step 4: Simplify right side
    299.15x = 69,418.13
  5. Step 5: Solve for x
    x = 69,418.13/299.15
  6. Step 6: Final answer
    x = 232.05

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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.