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Finding the Fourth Proportional to 175.72, 243.47 and 171.88

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Solution

The fourth proportional to 175.72, 243.47 and 171.88 is: 238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.72 : 243.47 = 171.88 : x
  2. Step 2: Convert to fraction form
    175.72/243.47 = 171.88/x
  3. Step 3: Cross multiply
    175.72x = 243.47 × 171.88
  4. Step 4: Simplify right side
    175.72x = 41,847.62
  5. Step 5: Solve for x
    x = 41,847.62/175.72
  6. Step 6: Final answer
    x = 238.15

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.