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Finding the Fourth Proportional to 181.54, 250.58 and 111.61

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Solution

The fourth proportional to 181.54, 250.58 and 111.61 is: 154.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.54 : 250.58 = 111.61 : x
  2. Step 2: Convert to fraction form
    181.54/250.58 = 111.61/x
  3. Step 3: Cross multiply
    181.54x = 250.58 × 111.61
  4. Step 4: Simplify right side
    181.54x = 27,965.42
  5. Step 5: Solve for x
    x = 27,965.42/181.54
  6. Step 6: Final answer
    x = 154.05

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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.