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Finding the Fourth Proportional to 181.73, 250.78 and 104.11

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Solution

The fourth proportional to 181.73, 250.78 and 104.11 is: 143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.73 : 250.78 = 104.11 : x
  2. Step 2: Convert to fraction form
    181.73/250.78 = 104.11/x
  3. Step 3: Cross multiply
    181.73x = 250.78 × 104.11
  4. Step 4: Simplify right side
    181.73x = 26,108.71
  5. Step 5: Solve for x
    x = 26,108.71/181.73
  6. Step 6: Final answer
    x = 143.67

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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.