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Finding the Fourth Proportional to 181.72, 250.02 and 137.80

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Solution

The fourth proportional to 181.72, 250.02 and 137.80 is: 189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.72 : 250.02 = 137.80 : x
  2. Step 2: Convert to fraction form
    181.72/250.02 = 137.80/x
  3. Step 3: Cross multiply
    181.72x = 250.02 × 137.80
  4. Step 4: Simplify right side
    181.72x = 34,452.76
  5. Step 5: Solve for x
    x = 34,452.76/181.72
  6. Step 6: Final answer
    x = 189.59

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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.