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Finding the Fourth Proportional to 181.40, 250.47 and 111.55

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Solution

The fourth proportional to 181.40, 250.47 and 111.55 is: 154.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.40 : 250.47 = 111.55 : x
  2. Step 2: Convert to fraction form
    181.40/250.47 = 111.55/x
  3. Step 3: Cross multiply
    181.40x = 250.47 × 111.55
  4. Step 4: Simplify right side
    181.40x = 27,940.47
  5. Step 5: Solve for x
    x = 27,940.47/181.40
  6. Step 6: Final answer
    x = 154.03

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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.