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Finding the Fourth Proportional to 178.92, 245.48 and 168.48

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Solution

The fourth proportional to 178.92, 245.48 and 168.48 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.92 : 245.48 = 168.48 : x
  2. Step 2: Convert to fraction form
    178.92/245.48 = 168.48/x
  3. Step 3: Cross multiply
    178.92x = 245.48 × 168.48
  4. Step 4: Simplify right side
    178.92x = 41,358.47
  5. Step 5: Solve for x
    x = 41,358.47/178.92
  6. Step 6: Final answer
    x = 231.16

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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.