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Finding the Fourth Proportional to 185.16, 254.43 and 165.72

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Solution

The fourth proportional to 185.16, 254.43 and 165.72 is: 227.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.16 : 254.43 = 165.72 : x
  2. Step 2: Convert to fraction form
    185.16/254.43 = 165.72/x
  3. Step 3: Cross multiply
    185.16x = 254.43 × 165.72
  4. Step 4: Simplify right side
    185.16x = 42,164.14
  5. Step 5: Solve for x
    x = 42,164.14/185.16
  6. Step 6: Final answer
    x = 227.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.