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Finding the Fourth Proportional to 181.52, 250.62 and 122.57

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Solution

The fourth proportional to 181.52, 250.62 and 122.57 is: 169.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.52 : 250.62 = 122.57 : x
  2. Step 2: Convert to fraction form
    181.52/250.62 = 122.57/x
  3. Step 3: Cross multiply
    181.52x = 250.62 × 122.57
  4. Step 4: Simplify right side
    181.52x = 30,717.88
  5. Step 5: Solve for x
    x = 30,717.88/181.52
  6. Step 6: Final answer
    x = 169.23

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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.