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Finding the Fourth Proportional to 185.72, 279.89 and 168.38

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Solution

The fourth proportional to 185.72, 279.89 and 168.38 is: 253.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.72 : 279.89 = 168.38 : x
  2. Step 2: Convert to fraction form
    185.72/279.89 = 168.38/x
  3. Step 3: Cross multiply
    185.72x = 279.89 × 168.38
  4. Step 4: Simplify right side
    185.72x = 47,127.88
  5. Step 5: Solve for x
    x = 47,127.88/185.72
  6. Step 6: Final answer
    x = 253.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.