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Finding the Fourth Proportional to 181.92, 251.04 and 138.24

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Solution

The fourth proportional to 181.92, 251.04 and 138.24 is: 190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.92 : 251.04 = 138.24 : x
  2. Step 2: Convert to fraction form
    181.92/251.04 = 138.24/x
  3. Step 3: Cross multiply
    181.92x = 251.04 × 138.24
  4. Step 4: Simplify right side
    181.92x = 34,703.77
  5. Step 5: Solve for x
    x = 34,703.77/181.92
  6. Step 6: Final answer
    x = 190.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.