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Finding the Fourth Proportional to 181.45, 250.45 and 115.07

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Solution

The fourth proportional to 181.45, 250.45 and 115.07 is: 158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.45 : 250.45 = 115.07 : x
  2. Step 2: Convert to fraction form
    181.45/250.45 = 115.07/x
  3. Step 3: Cross multiply
    181.45x = 250.45 × 115.07
  4. Step 4: Simplify right side
    181.45x = 28,819.28
  5. Step 5: Solve for x
    x = 28,819.28/181.45
  6. Step 6: Final answer
    x = 158.83

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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.