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Finding the Fourth Proportional to 175.92, 241.28 and 171.87

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Solution

The fourth proportional to 175.92, 241.28 and 171.87 is: 235.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.92 : 241.28 = 171.87 : x
  2. Step 2: Convert to fraction form
    175.92/241.28 = 171.87/x
  3. Step 3: Cross multiply
    175.92x = 241.28 × 171.87
  4. Step 4: Simplify right side
    175.92x = 41,467.93
  5. Step 5: Solve for x
    x = 41,467.93/175.92
  6. Step 6: Final answer
    x = 235.72

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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.