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Finding the Fourth Proportional to 193.08, 264.84 and 171.24

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Solution

The fourth proportional to 193.08, 264.84 and 171.24 is: 234.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.08 : 264.84 = 171.24 : x
  2. Step 2: Convert to fraction form
    193.08/264.84 = 171.24/x
  3. Step 3: Cross multiply
    193.08x = 264.84 × 171.24
  4. Step 4: Simplify right side
    193.08x = 45,351.20
  5. Step 5: Solve for x
    x = 45,351.20/193.08
  6. Step 6: Final answer
    x = 234.88

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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.