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Finding the Fourth Proportional to 178.92, 245.60 and 171.04

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Solution

The fourth proportional to 178.92, 245.60 and 171.04 is: 234.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.92 : 245.60 = 171.04 : x
  2. Step 2: Convert to fraction form
    178.92/245.60 = 171.04/x
  3. Step 3: Cross multiply
    178.92x = 245.60 × 171.04
  4. Step 4: Simplify right side
    178.92x = 42,007.42
  5. Step 5: Solve for x
    x = 42,007.42/178.92
  6. Step 6: Final answer
    x = 234.78

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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.