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Finding the Fourth Proportional to 181.80, 250.91 and 116.46

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Solution

The fourth proportional to 181.80, 250.91 and 116.46 is: 160.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.80 : 250.91 = 116.46 : x
  2. Step 2: Convert to fraction form
    181.80/250.91 = 116.46/x
  3. Step 3: Cross multiply
    181.80x = 250.91 × 116.46
  4. Step 4: Simplify right side
    181.80x = 29,220.98
  5. Step 5: Solve for x
    x = 29,220.98/181.80
  6. Step 6: Final answer
    x = 160.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.