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Finding the Fourth Proportional to 202.98, 279.96 and 168.14

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Solution

The fourth proportional to 202.98, 279.96 and 168.14 is: 231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.98 : 279.96 = 168.14 : x
  2. Step 2: Convert to fraction form
    202.98/279.96 = 168.14/x
  3. Step 3: Cross multiply
    202.98x = 279.96 × 168.14
  4. Step 4: Simplify right side
    202.98x = 47,072.47
  5. Step 5: Solve for x
    x = 47,072.47/202.98
  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.